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Least Common Multiple (LCM) of 173 and 133

The least common multiple (LCM) of 173 and 133 is 23009.

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 133?

First, calculate the GCD of 173 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 133 = 1 remainder 40
2 133 ÷ 40 = 3 remainder 13
3 40 ÷ 13 = 3 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
191 and 326112
183 and 1056405
38 and 1603040
95 and 262470
149 and 365364

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