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Least Common Multiple (LCM) of 125 and 21

The least common multiple (LCM) of 125 and 21 is 2625.

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 21?

First, calculate the GCD of 125 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 21 = 5 remainder 20
2 21 ÷ 20 = 1 remainder 1
3 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1226222
83 and 15512865
114 and 1202280
29 and 1022958
20 and 1272540

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