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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
70 and 1284480
101 and 18818988
137 and 15721509
27 and 651755
151 and 16725217

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