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Least Common Multiple (LCM) of 173 and 188

The least common multiple (LCM) of 173 and 188 is 32524.

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 188?

First, calculate the GCD of 173 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 188 = 0 remainder 173
2 188 ÷ 173 = 1 remainder 15
3 173 ÷ 15 = 11 remainder 8
4 15 ÷ 8 = 1 remainder 7
5 8 ÷ 7 = 1 remainder 1
6 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 1491490
25 and 721800
117 and 354095
120 and 475640
171 and 15125821

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