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Least Common Multiple (LCM) of 106 and 116

The least common multiple (LCM) of 106 and 116 is 6148.

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 106 and 116?

First, calculate the GCD of 106 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 116 = 0 remainder 106
2 116 ÷ 106 = 1 remainder 10
3 106 ÷ 10 = 10 remainder 6
4 10 ÷ 6 = 1 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 180360
115 and 16318745
102 and 16917238
72 and 433096
66 and 1077062

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