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Least Common Multiple (LCM) of 76 and 138

The least common multiple (LCM) of 76 and 138 is 5244.

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 76 and 138?

First, calculate the GCD of 76 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 138 = 0 remainder 76
2 138 ÷ 76 = 1 remainder 62
3 76 ÷ 62 = 1 remainder 14
4 62 ÷ 14 = 4 remainder 6
5 14 ÷ 6 = 2 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 323744
105 and 1625670
119 and 1963332
176 and 80880
115 and 11613340

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