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Least Common Multiple (LCM) of 172 and 149

The least common multiple (LCM) of 172 and 149 is 25628.

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 172 and 149?

First, calculate the GCD of 172 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 149 = 1 remainder 23
2 149 ÷ 23 = 6 remainder 11
3 23 ÷ 11 = 2 remainder 1
4 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1376713
41 and 1355535
46 and 561288
52 and 22572
81 and 13010530

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