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Least Common Multiple (LCM) of 117 and 39

The least common multiple (LCM) of 117 and 39 is 117.

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 39?

First, calculate the GCD of 117 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 117 ÷ 39 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 188940
176 and 17130096
115 and 11813570
155 and 172635
106 and 1045512

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