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Least Common Multiple (LCM) of 189 and 172

The least common multiple (LCM) of 189 and 172 is 32508.

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 189 and 172?

First, calculate the GCD of 189 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 172 = 1 remainder 17
2 172 ÷ 17 = 10 remainder 2
3 17 ÷ 2 = 8 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
200 and 1903800
56 and 1562184
89 and 817209
21 and 30210
124 and 13716988

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