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Least Common Multiple (LCM) of 177 and 13

The least common multiple (LCM) of 177 and 13 is 2301.

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 13?

First, calculate the GCD of 177 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 13 = 13 remainder 8
2 13 ÷ 8 = 1 remainder 5
3 8 ÷ 5 = 1 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 231955
120 and 1863720
140 and 111540
182 and 417462
97 and 989506

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