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Least Common Multiple (LCM) of 36 and 93

The least common multiple (LCM) of 36 and 93 is 1116.

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 93?

First, calculate the GCD of 36 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 93 = 0 remainder 36
2 93 ÷ 36 = 2 remainder 21
3 36 ÷ 21 = 1 remainder 15
4 21 ÷ 15 = 1 remainder 6
5 15 ÷ 6 = 2 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 172788
41 and 12492
80 and 12710160
97 and 484656
154 and 416314

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