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Least Common Multiple (LCM) of 177 and 131

The least common multiple (LCM) of 177 and 131 is 23187.

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 177 and 131?

First, calculate the GCD of 177 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 131 = 1 remainder 46
2 131 ÷ 46 = 2 remainder 39
3 46 ÷ 39 = 1 remainder 7
4 39 ÷ 7 = 5 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 18911529
31 and 1334123
116 and 171972
120 and 541080
144 and 1055040

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