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Least Common Multiple (LCM) of 61 and 106

The least common multiple (LCM) of 61 and 106 is 6466.

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 106?

First, calculate the GCD of 61 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 61 ÷ 106 = 0 remainder 61
2 106 ÷ 61 = 1 remainder 45
3 61 ÷ 45 = 1 remainder 16
4 45 ÷ 16 = 2 remainder 13
5 16 ÷ 13 = 1 remainder 3
6 13 ÷ 3 = 4 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 656955
114 and 1589006
51 and 1803060
31 and 1935983
34 and 1081836

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