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Least Common Multiple (LCM) of 163 and 90

The least common multiple (LCM) of 163 and 90 is 14670.

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 163 and 90?

First, calculate the GCD of 163 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 90 = 1 remainder 73
2 90 ÷ 73 = 1 remainder 17
3 73 ÷ 17 = 4 remainder 5
4 17 ÷ 5 = 3 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 664290
58 and 13754
65 and 563640
190 and 19937810
183 and 19134953

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