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Least Common Multiple (LCM) of 173 and 145

The least common multiple (LCM) of 173 and 145 is 25085.

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 145?

First, calculate the GCD of 173 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 145 = 1 remainder 28
2 145 ÷ 28 = 5 remainder 5
3 28 ÷ 5 = 5 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 794661
163 and 10216626
146 and 13519710
187 and 438041
51 and 1588058

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