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Least Common Multiple (LCM) of 90 and 27

The least common multiple (LCM) of 90 and 27 is 270.

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 90 and 27?

First, calculate the GCD of 90 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 27 = 3 remainder 9
2 27 ÷ 9 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
67 and 19012730
131 and 12616506
37 and 15555
24 and 1092616
97 and 16716199

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