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Least Common Multiple (LCM) of 11 and 173

The least common multiple (LCM) of 11 and 173 is 1903.

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 11 and 173?

First, calculate the GCD of 11 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 173 = 0 remainder 11
2 173 ÷ 11 = 15 remainder 8
3 11 ÷ 8 = 1 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 17734161
114 and 616954
106 and 9910494
93 and 13012090
85 and 14111985

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