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Least Common Multiple (LCM) of 36 and 20

The least common multiple (LCM) of 36 and 20 is 180.

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 20?

First, calculate the GCD of 36 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 20 = 1 remainder 16
2 20 ÷ 16 = 1 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 9015030
116 and 13515660
162 and 806480
79 and 18614694
120 and 1743480

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