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Least Common Multiple (LCM) of 120 and 121

The least common multiple (LCM) of 120 and 121 is 14520.

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 120 and 121?

First, calculate the GCD of 120 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 121 = 0 remainder 120
2 121 ÷ 120 = 1 remainder 1
3 120 ÷ 1 = 120 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 7676
119 and 9411186
60 and 171020
158 and 685372
63 and 962016

Try Calculating LCM of Other Numbers







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