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Least Common Multiple (LCM) of 131 and 171

The least common multiple (LCM) of 131 and 171 is 22401.

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 171?

First, calculate the GCD of 131 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 171 = 0 remainder 131
2 171 ÷ 131 = 1 remainder 40
3 131 ÷ 40 = 3 remainder 11
4 40 ÷ 11 = 3 remainder 7
5 11 ÷ 7 = 1 remainder 4
6 7 ÷ 4 = 1 remainder 3
7 4 ÷ 3 = 1 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
87 and 15213224
139 and 12517375
60 and 811620
78 and 13310374
51 and 1472499

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