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Least Common Multiple (LCM) of 177 and 116

The least common multiple (LCM) of 177 and 116 is 20532.

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 116?

First, calculate the GCD of 177 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 116 = 1 remainder 61
2 116 ÷ 61 = 1 remainder 55
3 61 ÷ 55 = 1 remainder 6
4 55 ÷ 6 = 9 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 15330
83 and 756225
166 and 477802
102 and 1562652
155 and 93465

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