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Least Common Multiple (LCM) of 116 and 39

The least common multiple (LCM) of 116 and 39 is 4524.

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 116 and 39?

First, calculate the GCD of 116 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 39 = 2 remainder 38
2 39 ÷ 38 = 1 remainder 1
3 38 ÷ 1 = 38 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 254725
40 and 1977880
57 and 133399
189 and 901890
78 and 1682184

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