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Least Common Multiple (LCM) of 106 and 20

The least common multiple (LCM) of 106 and 20 is 1060.

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 20?

First, calculate the GCD of 106 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 20 = 5 remainder 6
2 20 ÷ 6 = 3 remainder 2
3 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 739344
144 and 1893024
183 and 17410614
59 and 5959
102 and 1789078

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