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Least Common Multiple (LCM) of 125 and 132

The least common multiple (LCM) of 125 and 132 is 16500.

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 132?

First, calculate the GCD of 125 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 132 = 0 remainder 125
2 132 ÷ 125 = 1 remainder 7
3 125 ÷ 7 = 17 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 132496
179 and 16930251
145 and 1353915
16 and 1392224
163 and 345542

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