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Least Common Multiple (LCM) of 110 and 165

The least common multiple (LCM) of 110 and 165 is 330.

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 110 and 165?

First, calculate the GCD of 110 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 165 = 0 remainder 110
2 165 ÷ 110 = 1 remainder 55
3 110 ÷ 55 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 828774
104 and 18919656
13 and 801040
101 and 13914039
46 and 1082484

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