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Least Common Multiple (LCM) of 125 and 39

The least common multiple (LCM) of 125 and 39 is 4875.

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 125 and 39?

First, calculate the GCD of 125 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 39 = 3 remainder 8
2 39 ÷ 8 = 4 remainder 7
3 8 ÷ 7 = 1 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1174095
109 and 566104
88 and 80880
78 and 1525928
179 and 18733473

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