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Least Common Multiple (LCM) of 125 and 89

The least common multiple (LCM) of 125 and 89 is 11125.

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 89?

First, calculate the GCD of 125 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 89 = 1 remainder 36
2 89 ÷ 36 = 2 remainder 17
3 36 ÷ 17 = 2 remainder 2
4 17 ÷ 2 = 8 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 1432860
53 and 794187
23 and 1062438
112 and 1323696
10 and 97970

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