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Least Common Multiple (LCM) of 42 and 39

The least common multiple (LCM) of 42 and 39 is 546.

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 42 and 39?

First, calculate the GCD of 42 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 39 = 1 remainder 3
2 39 ÷ 3 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 1161740
117 and 19022230
154 and 1229394
102 and 15515810
172 and 1164988

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