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Least Common Multiple (LCM) of 36 and 27

The least common multiple (LCM) of 36 and 27 is 108.

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 36 and 27?

First, calculate the GCD of 36 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 27 = 1 remainder 9
2 27 ÷ 9 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 7012810
83 and 534399
118 and 442596
88 and 1426248
28 and 821148

Try Calculating LCM of Other Numbers







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