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Least Common Multiple (LCM) of 33 and 15

The least common multiple (LCM) of 33 and 15 is 165.

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 33 and 15?

First, calculate the GCD of 33 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 15 = 2 remainder 3
2 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 128384
177 and 14625842
175 and 1543850
14 and 60420
89 and 15213528

Try Calculating LCM of Other Numbers







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