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Least Common Multiple (LCM) of 15 and 33

The least common multiple (LCM) of 15 and 33 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 15 and 33?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
164 and 1445904
156 and 1847176
155 and 588990
82 and 17114022
18 and 171342

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