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Least Common Multiple (LCM) of 125 and 53

The least common multiple (LCM) of 125 and 53 is 6625.

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 53?

First, calculate the GCD of 125 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 53 = 2 remainder 19
2 53 ÷ 19 = 2 remainder 15
3 19 ÷ 15 = 1 remainder 4
4 15 ÷ 4 = 3 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
28 and 76532
30 and 741110
112 and 70560
14 and 27378
69 and 533657

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