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Least Common Multiple (LCM) of 125 and 40

The least common multiple (LCM) of 125 and 40 is 1000.

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 40?

First, calculate the GCD of 125 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 40 = 3 remainder 5
2 40 ÷ 5 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 321440
186 and 18817484
200 and 545400
96 and 108864
31 and 1645084

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