LCM of two numbers given HCF and product of two numbers Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lowest Common Multiple = Product of two numbers/Highest Common Multiple
LCM = P/HCF
This formula uses 3 Variables
Variables Used
Lowest Common Multiple - The Lowest Common Multiple is the least positive integer other than zero that is divisible by both a and b.
Product of two numbers - The Product of two numbers is the result of the multiplication of two numbers.
Highest Common Multiple - Highest Common Multiple is a common factor that is shared by two or more numbers.
STEP 1: Convert Input(s) to Base Unit
Product of two numbers: 50 --> No Conversion Required
Highest Common Multiple: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCM = P/HCF --> 50/5
Evaluating ... ...
LCM = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Lowest Common Multiple
(Calculation completed in 00.001 seconds)

Credits

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 of two numbers
Lowest Common Multiple = Product of two numbers/Highest Common Multiple Go
HCF of two numbers given LCM and product of two numbers
Highest Common Multiple = Product of two numbers/Lowest Common Multiple Go

LCM of two numbers given HCF and product of two numbers Formula

Lowest Common Multiple = Product of two numbers/Highest Common Multiple
LCM = P/HCF

Is there any other method for finding Lowest Common Multiple?

Lowest Common Multiple can be calculated by the prime factorization as the LCM will be the product of multiplying the highest powers of the prime numbers together.

Does LCM follows commutative and associative laws?

Yes, LCM follows both the properties.

How to Calculate LCM of two numbers given HCF and product of two numbers?

LCM of two numbers given HCF and product of two numbers calculator uses Lowest Common Multiple = Product of two numbers/Highest Common Multiple to calculate the Lowest Common Multiple, LCM of two numbers given HCF and product of two numbers is a simple way to find LCM (Lowest Common Multiple) without finding the multiples and this formula is also valid when exactly one of a and b is 0 as the HCF(b, 0) = |b|. Lowest Common Multiple is denoted by LCM symbol.

How to calculate LCM of two numbers given HCF and product of two numbers using this online calculator? To use this online calculator for LCM of two numbers given HCF and product of two numbers, enter Product of two numbers (P) & Highest Common Multiple (HCF) and hit the calculate button. Here is how the LCM of two numbers given HCF and product of two numbers calculation can be explained with given input values -> 10 = 50/5.

FAQ

What is LCM of two numbers given HCF and product of two numbers?
LCM of two numbers given HCF and product of two numbers is a simple way to find LCM (Lowest Common Multiple) without finding the multiples and this formula is also valid when exactly one of a and b is 0 as the HCF(b, 0) = |b| and is represented as LCM = P/HCF or Lowest Common Multiple = Product of two numbers/Highest Common Multiple. The Product of two numbers is the result of the multiplication of two numbers & Highest Common Multiple is a common factor that is shared by two or more numbers.
How to calculate LCM of two numbers given HCF and product of two numbers?
LCM of two numbers given HCF and product of two numbers is a simple way to find LCM (Lowest Common Multiple) without finding the multiples and this formula is also valid when exactly one of a and b is 0 as the HCF(b, 0) = |b| is calculated using Lowest Common Multiple = Product of two numbers/Highest Common Multiple. To calculate LCM of two numbers given HCF and product of two numbers, you need Product of two numbers (P) & Highest Common Multiple (HCF). With our tool, you need to enter the respective value for Product of two numbers & Highest Common Multiple 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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