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Least Common Multiple (LCM) of 61 and 63

The least common multiple (LCM) of 61 and 63 is 3843.

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 63?

First, calculate the GCD of 61 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 63 = 0 remainder 61
2 63 ÷ 61 = 1 remainder 2
3 61 ÷ 2 = 30 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
17 and 601020
107 and 13914873
129 and 12816512
61 and 633843
83 and 494067

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