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Least Common Multiple (LCM) of 117 and 42

The least common multiple (LCM) of 117 and 42 is 1638.

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 42?

First, calculate the GCD of 117 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 42 = 2 remainder 33
2 42 ÷ 33 = 1 remainder 9
3 33 ÷ 9 = 3 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 1728084
117 and 9711349
138 and 12717526
97 and 959215
62 and 441364

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