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Least Common Multiple (LCM) of 173 and 54

The least common multiple (LCM) of 173 and 54 is 9342.

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 54?

First, calculate the GCD of 173 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 54 = 3 remainder 11
2 54 ÷ 11 = 4 remainder 10
3 11 ÷ 10 = 1 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 16527060
94 and 743478
53 and 1769328
36 and 1481332
131 and 577467

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