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Least Common Multiple (LCM) of 177 and 95

The least common multiple (LCM) of 177 and 95 is 16815.

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 95?

First, calculate the GCD of 177 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 95 = 1 remainder 82
2 95 ÷ 82 = 1 remainder 13
3 82 ÷ 13 = 6 remainder 4
4 13 ÷ 4 = 3 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 384522
59 and 855015
89 and 504450
157 and 13721509
35 and 1083780

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