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Least Common Multiple (LCM) of 38 and 173

The least common multiple (LCM) of 38 and 173 is 6574.

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 38 and 173?

First, calculate the GCD of 38 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 173 = 0 remainder 38
2 173 ÷ 38 = 4 remainder 21
3 38 ÷ 21 = 1 remainder 17
4 21 ÷ 17 = 1 remainder 4
5 17 ÷ 4 = 4 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 15517205
179 and 9817542
186 and 13612648
74 and 1666142
72 and 795688

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