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Least Common Multiple (LCM) of 117 and 120

The least common multiple (LCM) of 117 and 120 is 4680.

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 120?

First, calculate the GCD of 117 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 120 = 0 remainder 117
2 120 ÷ 117 = 1 remainder 3
3 117 ÷ 3 = 39 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1084644
60 and 1197140
141 and 16423124
123 and 1144674
111 and 19321423

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