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Least Common Multiple (LCM) of 27 and 185

The least common multiple (LCM) of 27 and 185 is 4995.

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 185?

First, calculate the GCD of 27 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 185 = 0 remainder 27
2 185 ÷ 27 = 6 remainder 23
3 27 ÷ 23 = 1 remainder 4
4 23 ÷ 4 = 5 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 356895
182 and 1962548
12 and 196588
144 and 40720
76 and 11836

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