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Least Common Multiple (LCM) of 125 and 121

The least common multiple (LCM) of 125 and 121 is 15125.

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 121?

First, calculate the GCD of 125 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 121 = 1 remainder 4
2 121 ÷ 4 = 30 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 111705
180 and 625580
62 and 1277874
13 and 991287
162 and 7311826

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