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Least Common Multiple (LCM) of 61 and 55

The least common multiple (LCM) of 61 and 55 is 3355.

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 55?

First, calculate the GCD of 61 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 55 = 1 remainder 6
2 55 ÷ 6 = 9 remainder 1
3 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 11737
176 and 961056
116 and 495684
66 and 17911814
129 and 572451

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