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Least Common Multiple (LCM) of 73 and 64

The least common multiple (LCM) of 73 and 64 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 73 and 64?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
39 and 1892457
92 and 11710764
131 and 7910349
126 and 10312978
26 and 921196

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