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Least Common Multiple (LCM) of 107 and 101

The least common multiple (LCM) of 107 and 101 is 10807.

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 107 and 101?

First, calculate the GCD of 107 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 101 = 1 remainder 6
2 101 ÷ 6 = 16 remainder 5
3 6 ÷ 5 = 1 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 825002
119 and 8910591
51 and 974947
109 and 12613734
182 and 78546

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