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Least Common Multiple (LCM) of 124 and 25

The least common multiple (LCM) of 124 and 25 is 3100.

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 124 and 25?

First, calculate the GCD of 124 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 25 = 4 remainder 24
2 25 ÷ 24 = 1 remainder 1
3 24 ÷ 1 = 24 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 1126608
99 and 16115939
20 and 135540
121 and 17721417
53 and 804240

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