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Least Common Multiple (LCM) of 139 and 102

The least common multiple (LCM) of 139 and 102 is 14178.

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 102?

First, calculate the GCD of 139 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 139 ÷ 102 = 1 remainder 37
2 102 ÷ 37 = 2 remainder 28
3 37 ÷ 28 = 1 remainder 9
4 28 ÷ 9 = 3 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 170340
83 and 1159545
12 and 62372
170 and 213570
62 and 16910478

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