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Least Common Multiple (LCM) of 23 and 125

The least common multiple (LCM) of 23 and 125 is 2875.

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 23 and 125?

First, calculate the GCD of 23 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 125 = 0 remainder 23
2 125 ÷ 23 = 5 remainder 10
3 23 ÷ 10 = 2 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 821476
24 and 150600
61 and 925612
27 and 1243348
101 and 14714847

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