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Least Common Multiple (LCM) of 177 and 83

The least common multiple (LCM) of 177 and 83 is 14691.

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 83?

First, calculate the GCD of 177 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 83 = 2 remainder 11
2 83 ÷ 11 = 7 remainder 6
3 11 ÷ 6 = 1 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 851020
71 and 1379727
10 and 180180
168 and 383192
188 and 1326204

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