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Least Common Multiple (LCM) of 177 and 179

The least common multiple (LCM) of 177 and 179 is 31683.

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 179?

First, calculate the GCD of 177 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 179 = 0 remainder 177
2 179 ÷ 177 = 1 remainder 2
3 177 ÷ 2 = 88 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 93186
82 and 191558
144 and 19127504
20 and 1032060
103 and 11812154

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