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Least Common Multiple (LCM) of 36 and 18

The least common multiple (LCM) of 36 and 18 is 36.

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 18?

First, calculate the GCD of 36 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 18 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 706440
52 and 1223172
95 and 601140
186 and 782418
50 and 1744350

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