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Least Common Multiple (LCM) of 184 and 173

The least common multiple (LCM) of 184 and 173 is 31832.

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 184 and 173?

First, calculate the GCD of 184 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 173 = 1 remainder 11
2 173 ÷ 11 = 15 remainder 8
3 11 ÷ 8 = 1 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 14710731
119 and 111309
72 and 1585688
182 and 12010920
121 and 11213552

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