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Least Common Multiple (LCM) of 61 and 81

The least common multiple (LCM) of 61 and 81 is 4941.

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 81?

First, calculate the GCD of 61 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 81 = 0 remainder 61
2 81 ÷ 61 = 1 remainder 20
3 61 ÷ 20 = 3 remainder 1
4 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 14921009
72 and 18713464
128 and 10913952
110 and 1266930
54 and 2754

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