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Least Common Multiple (LCM) of 25 and 124

The least common multiple (LCM) of 25 and 124 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 25 and 124?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
193 and 9217756
157 and 9314601
119 and 394641
142 and 17412354
181 and 244344

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