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Least Common Multiple (LCM) of 61 and 121

The least common multiple (LCM) of 61 and 121 is 7381.

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 121?

First, calculate the GCD of 61 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 121 = 0 remainder 61
2 121 ÷ 61 = 1 remainder 60
3 61 ÷ 60 = 1 remainder 1
4 60 ÷ 1 = 60 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 1651320
29 and 1022958
10 and 1010
33 and 591947
160 and 1566240

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