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Least Common Multiple (LCM) of 183 and 173

The least common multiple (LCM) of 183 and 173 is 31659.

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 183 and 173?

First, calculate the GCD of 183 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 173 = 1 remainder 10
2 173 ÷ 10 = 17 remainder 3
3 10 ÷ 3 = 3 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 716461
112 and 11112432
172 and 682924
94 and 1085076
190 and 377030

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