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Least Common Multiple (LCM) of 177 and 123

The least common multiple (LCM) of 177 and 123 is 7257.

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 123?

First, calculate the GCD of 177 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 123 = 1 remainder 54
2 123 ÷ 54 = 2 remainder 15
3 54 ÷ 15 = 3 remainder 9
4 15 ÷ 9 = 1 remainder 6
5 9 ÷ 6 = 1 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 19519695
54 and 5454
170 and 10170
105 and 1294515
106 and 9910494

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