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Least Common Multiple (LCM) of 131 and 102

The least common multiple (LCM) of 131 and 102 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 131 and 102?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
47 and 1105170
196 and 14614308
148 and 334884
162 and 1981782
135 and 10714445

Try Calculating LCM of Other Numbers







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