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Least Common Multiple (LCM) of 28 and 165

The least common multiple (LCM) of 28 and 165 is 4620.

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 28 and 165?

First, calculate the GCD of 28 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 165 = 0 remainder 28
2 165 ÷ 28 = 5 remainder 25
3 28 ÷ 25 = 1 remainder 3
4 25 ÷ 3 = 8 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 382622
18 and 1973546
108 and 17919332
162 and 806480
137 and 16823016

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