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Least Common Multiple (LCM) of 139 and 109

The least common multiple (LCM) of 139 and 109 is 15151.

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 139 and 109?

First, calculate the GCD of 139 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 109 = 1 remainder 30
2 109 ÷ 30 = 3 remainder 19
3 30 ÷ 19 = 1 remainder 11
4 19 ÷ 11 = 1 remainder 8
5 11 ÷ 8 = 1 remainder 3
6 8 ÷ 3 = 2 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 1113885
173 and 13823874
61 and 1599699
60 and 44660
18 and 123738

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