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Least Common Multiple (LCM) of 102 and 131

The least common multiple (LCM) of 102 and 131 is 13362.

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 102 and 131?

First, calculate the GCD of 102 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 131 = 0 remainder 102
2 131 ÷ 102 = 1 remainder 29
3 102 ÷ 29 = 3 remainder 15
4 29 ÷ 15 = 1 remainder 14
5 15 ÷ 14 = 1 remainder 1
6 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
104 and 19320072
172 and 15326316
15 and 1071605
71 and 15210792
53 and 1316943

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