LCM of Two Numbers given HCF and Product Calculator

✖Product of Two Numbers is the result of the multiplication of two numbers.ⓘ Product of Two Numbers [P_(X×Y)]			+10% -10%
✖Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.ⓘ Highest Common Factor of Two Numbers [HCF_{(X, Y)}]			+10% -10%

✖Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.ⓘ LCM of Two Numbers given HCF and Product [LCM_{(X, Y)}]

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Formula

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LCM of Two Numbers given HCF and Product

Formula

`"LCM"_{"(X, Y)"} = "P"_{"(X×Y)"}/"HCF"_{"(X, Y)"}`

Example

`"9"="45"/"5"`

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LCM of Two Numbers given HCF and Product Solution

STEP 0: Pre-Calculation Summary

Formula Used

Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers
LCM_{(X, Y)} = P_(X×Y)/HCF_{(X, Y)}
This formula uses 3 Variables

Variables Used

Least Common Multiple of Two Numbers - Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.
Product of Two Numbers - Product of Two Numbers is the result of the multiplication of two numbers.
Highest Common Factor of Two Numbers - Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.

STEP 1: Convert Input(s) to Base Unit

Product of Two Numbers: 45 --> No Conversion Required
Highest Common Factor of Two Numbers: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LCM_{(X, Y)} = P_(X×Y)/HCF_{(X, Y)} --> 45/5

Evaluating ... ...

LCM_{(X, Y)} = 9

STEP 3: Convert Result to Output's Unit

9 --> No Conversion Required

FINAL ANSWER

9 <-- Least Common Multiple of Two Numbers

(Calculation completed in 00.004 seconds)

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Created by Sakshi Priya

Indian Institute of Technology (IIT), Roorkee

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< 2 HCF and LCM Calculators

LCM of Two Numbers given HCF and Product

Go Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers

HCF of Two Numbers given LCM and Product

Go Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers

LCM of Two Numbers given HCF and Product Formula

Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers
LCM_{(X, Y)} = P_(X×Y)/HCF_{(X, Y)}

What are the properties of Least Common Multiple of Two Numbers?

1. The LCM of any set of integers is a multiple of each of those integers.
2. The LCM of two integers is equal to the product of those integers divided by their highest common factor (HCF). This is also known as the Euclidean algorithm for finding the LCM.
3. The LCM of a set of integers is the product of their prime factorization, with each prime raised to the highest power present in any of the integers.
4. LCM is distributive over addition and subtraction: LCM(a+b,c) = LCM(a,c) x LCM(b,c) = LCM(a,b,c) and LCM(a,b) = LCM(a,c) x LCM(b,c) = LCM(a,b,c)
5. If the LCM of two numbers is equal to the product of those numbers, then they are relatively prime to each other or in another way they are co-primes.

Does LCM follow commutative and associative laws?

The LCM of a set of integers is commutative and associative, meaning that the order in which the integers are listed does not affect the result and that grouping the integers in different ways will give the same result.

How to Calculate LCM of Two Numbers given HCF and Product?

LCM of Two Numbers given HCF and Product calculator uses Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers to calculate the Least Common Multiple of Two Numbers, LCM of Two Numbers given HCF and Product formula is defined as the least positive integer other than zero that is divisible by both numbers, and calculated using the highest common factor and product of those two numbers. Least Common Multiple of Two Numbers is denoted by LCM_{(X, Y)} symbol.

How to calculate LCM of Two Numbers given HCF and Product using this online calculator? To use this online calculator for LCM of Two Numbers given HCF and Product, enter Product of Two Numbers (P_(X×Y)) & Highest Common Factor of Two Numbers (HCF_{(X, Y)}) and hit the calculate button. Here is how the LCM of Two Numbers given HCF and Product calculation can be explained with given input values -> 9 = 45/5.

FAQ

What is LCM of Two Numbers given HCF and Product?

LCM of Two Numbers given HCF and Product formula is defined as the least positive integer other than zero that is divisible by both numbers, and calculated using the highest common factor and product of those two numbers and is represented as LCM_{(X, Y)} = P_(X×Y)/HCF_{(X, Y)} or Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers. Product of Two Numbers is the result of the multiplication of two numbers & Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.

How to calculate LCM of Two Numbers given HCF and Product?

LCM of Two Numbers given HCF and Product formula is defined as the least positive integer other than zero that is divisible by both numbers, and calculated using the highest common factor and product of those two numbers is calculated using Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers. To calculate LCM of Two Numbers given HCF and Product, you need Product of Two Numbers (P_(X×Y)) & Highest Common Factor of Two Numbers (HCF_{(X, Y)}). With our tool, you need to enter the respective value for Product of Two Numbers & Highest Common Factor of Two Numbers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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