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Least Common Multiple (LCM) of 24 and 33

The least common multiple (LCM) of 24 and 33 is 264.

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 24 and 33?

First, calculate the GCD of 24 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 33 = 0 remainder 24
2 33 ÷ 24 = 1 remainder 9
3 24 ÷ 9 = 2 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 953990
114 and 10311742
95 and 18317385
85 and 187935
173 and 10918857

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