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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
150 and 1651650
80 and 851360
149 and 149149
49 and 1507350
37 and 1104070

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