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Least Common Multiple (LCM) of 165 and 18

The least common multiple (LCM) of 165 and 18 is 990.

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 165 and 18?

First, calculate the GCD of 165 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 18 = 9 remainder 3
2 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 81567
117 and 9711349
44 and 16176
118 and 414838
38 and 291102

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