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Least Common Multiple (LCM) of 173 and 127

The least common multiple (LCM) of 173 and 127 is 21971.

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 173 and 127?

First, calculate the GCD of 173 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 127 = 1 remainder 46
2 127 ÷ 46 = 2 remainder 35
3 46 ÷ 35 = 1 remainder 11
4 35 ÷ 11 = 3 remainder 2
5 11 ÷ 2 = 5 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 7612844
127 and 374699
157 and 14723079
138 and 994554
174 and 10117574

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