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Least Common Multiple (LCM) of 39 and 138

The least common multiple (LCM) of 39 and 138 is 1794.

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 39 and 138?

First, calculate the GCD of 39 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 138 = 0 remainder 39
2 138 ÷ 39 = 3 remainder 21
3 39 ÷ 21 = 1 remainder 18
4 21 ÷ 18 = 1 remainder 3
5 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 5710032
76 and 1586004
134 and 624154
190 and 76380
20 and 41820

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