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Least Common Multiple (LCM) of 173 and 40

The least common multiple (LCM) of 173 and 40 is 6920.

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 40?

First, calculate the GCD of 173 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
124 and 342108
141 and 15722137
163 and 18930807
21 and 611281
105 and 131365

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