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Least Common Multiple (LCM) of 64 and 73

The least common multiple (LCM) of 64 and 73 is 4672.

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 73?

First, calculate the GCD of 64 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 64 ÷ 73 = 0 remainder 64
2 73 ÷ 64 = 1 remainder 9
3 64 ÷ 9 = 7 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1256125
21 and 90630
173 and 8214186
58 and 352030
24 and 136408

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