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Least Common Multiple (LCM) of 125 and 73

The least common multiple (LCM) of 125 and 73 is 9125.

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 73?

First, calculate the GCD of 125 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 73 = 1 remainder 52
2 73 ÷ 52 = 1 remainder 21
3 52 ÷ 21 = 2 remainder 10
4 21 ÷ 10 = 2 remainder 1
5 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 175525
54 and 1015454
89 and 837387
130 and 8711310
34 and 1943298

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