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Least Common Multiple (LCM) of 173 and 102

The least common multiple (LCM) of 173 and 102 is 17646.

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 102?

First, calculate the GCD of 173 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 173 ÷ 102 = 1 remainder 71
2 102 ÷ 71 = 1 remainder 31
3 71 ÷ 31 = 2 remainder 9
4 31 ÷ 9 = 3 remainder 4
5 9 ÷ 4 = 2 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
79 and 15111929
155 and 578835
42 and 1456090
141 and 16723547
116 and 252900

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