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Least Common Multiple (LCM) of 27 and 111

The least common multiple (LCM) of 27 and 111 is 999.

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 111?

First, calculate the GCD of 27 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 111 = 0 remainder 27
2 111 ÷ 27 = 4 remainder 3
3 27 ÷ 3 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
185 and 9818130
149 and 12017880
72 and 1601440
200 and 6913800
29 and 1434147

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