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Least Common Multiple (LCM) of 61 and 141

The least common multiple (LCM) of 61 and 141 is 8601.

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 141?

First, calculate the GCD of 61 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 141 = 0 remainder 61
2 141 ÷ 61 = 2 remainder 19
3 61 ÷ 19 = 3 remainder 4
4 19 ÷ 4 = 4 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 17524850
48 and 11528
78 and 1533978
183 and 1086588
33 and 411353

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