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Least Common Multiple (LCM) of 173 and 76

The least common multiple (LCM) of 173 and 76 is 13148.

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 76?

First, calculate the GCD of 173 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 76 = 2 remainder 21
2 76 ÷ 21 = 3 remainder 13
3 21 ÷ 13 = 1 remainder 8
4 13 ÷ 8 = 1 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 19218624
32 and 1021632
83 and 383154
49 and 1728428
197 and 16732899

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