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Least Common Multiple (LCM) of 27 and 30

The least common multiple (LCM) of 27 and 30 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 27 and 30?

First, calculate the GCD of 27 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 30 = 0 remainder 27
2 30 ÷ 27 = 1 remainder 3
3 27 ÷ 3 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 7113490
103 and 788034
92 and 12311316
153 and 721224
65 and 694485

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