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Least Common Multiple (LCM) of 36 and 159

The least common multiple (LCM) of 36 and 159 is 1908.

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 159?

First, calculate the GCD of 36 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 159 = 0 remainder 36
2 159 ÷ 36 = 4 remainder 15
3 36 ÷ 15 = 2 remainder 6
4 15 ÷ 6 = 2 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 1593021
99 and 11611484
114 and 839462
105 and 11812390
148 and 7711396

Try Calculating LCM of Other Numbers







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