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Least Common Multiple (LCM) of 165 and 45

The least common multiple (LCM) of 165 and 45 is 495.

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 45?

First, calculate the GCD of 165 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 45 = 3 remainder 30
2 45 ÷ 30 = 1 remainder 15
3 30 ÷ 15 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 1595406
105 and 677035
49 and 21147
140 and 16923660
180 and 20180

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