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Least Common Multiple (LCM) of 100 and 173

The least common multiple (LCM) of 100 and 173 is 17300.

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 100 and 173?

First, calculate the GCD of 100 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 173 = 0 remainder 100
2 173 ÷ 100 = 1 remainder 73
3 100 ÷ 73 = 1 remainder 27
4 73 ÷ 27 = 2 remainder 19
5 27 ÷ 19 = 1 remainder 8
6 19 ÷ 8 = 2 remainder 3
7 8 ÷ 3 = 2 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 19425414
75 and 1924800
145 and 9914355
149 and 12618774
186 and 1418742

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