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Least Common Multiple (LCM) of 104 and 173

The least common multiple (LCM) of 104 and 173 is 17992.

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 104 and 173?

First, calculate the GCD of 104 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 104 ÷ 173 = 0 remainder 104
2 173 ÷ 104 = 1 remainder 69
3 104 ÷ 69 = 1 remainder 35
4 69 ÷ 35 = 1 remainder 34
5 35 ÷ 34 = 1 remainder 1
6 34 ÷ 1 = 34 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 15720567
129 and 18123349
11 and 961056
172 and 18615996
128 and 1404480

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