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Least Common Multiple (LCM) of 61 and 120

The least common multiple (LCM) of 61 and 120 is 7320.

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 61 and 120?

First, calculate the GCD of 61 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 120 = 0 remainder 61
2 120 ÷ 61 = 1 remainder 59
3 61 ÷ 59 = 1 remainder 2
4 59 ÷ 2 = 29 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 14917135
159 and 1447632
77 and 574389
95 and 1603040
68 and 187748

Try Calculating LCM of Other Numbers







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