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Least Common Multiple (LCM) of 73 and 23

The least common multiple (LCM) of 73 and 23 is 1679.

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 23?

First, calculate the GCD of 73 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 23 = 3 remainder 4
2 23 ÷ 4 = 5 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 934092
86 and 281204
146 and 9313578
58 and 1217018
64 and 1664

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