HowManyNumbers Logo

Least Common Multiple (LCM) of 117 and 56

The least common multiple (LCM) of 117 and 56 is 6552.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 117 and 56?

First, calculate the GCD of 117 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 56 = 2 remainder 5
2 56 ÷ 5 = 11 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 16010080
44 and 32352
151 and 17125821
156 and 1802340
32 and 36288

Try Calculating LCM of Other Numbers







Related Calculators