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Least Common Multiple (LCM) of 64 and 165

The least common multiple (LCM) of 64 and 165 is 10560.

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 64 and 165?

First, calculate the GCD of 64 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 165 = 0 remainder 64
2 165 ÷ 64 = 2 remainder 37
3 64 ÷ 37 = 1 remainder 27
4 37 ÷ 27 = 1 remainder 10
5 27 ÷ 10 = 2 remainder 7
6 10 ÷ 7 = 1 remainder 3
7 7 ÷ 3 = 2 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 162544
87 and 796873
111 and 171887
189 and 6111529
110 and 14115510

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