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Least Common Multiple (LCM) of 165 and 25

The least common multiple (LCM) of 165 and 25 is 825.

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 25?

First, calculate the GCD of 165 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 25 = 6 remainder 15
2 25 ÷ 15 = 1 remainder 10
3 15 ÷ 10 = 1 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 19333775
143 and 11816874
185 and 173145
197 and 18336051
11 and 28308

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