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Least Common Multiple (LCM) of 165 and 21

The least common multiple (LCM) of 165 and 21 is 1155.

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 21?

First, calculate the GCD of 165 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 21 = 7 remainder 18
2 21 ÷ 18 = 1 remainder 3
3 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
150 and 233450
27 and 30270
103 and 14114523
187 and 10519635
89 and 16714863

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