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Least Common Multiple (LCM) of 125 and 153

The least common multiple (LCM) of 125 and 153 is 19125.

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 153?

First, calculate the GCD of 125 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 153 = 0 remainder 125
2 153 ÷ 125 = 1 remainder 28
3 125 ÷ 28 = 4 remainder 13
4 28 ÷ 13 = 2 remainder 2
5 13 ÷ 2 = 6 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 415576
21 and 1974137
92 and 1145244
158 and 13321014
171 and 14023940

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