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Least Common Multiple (LCM) of 73 and 57

The least common multiple (LCM) of 73 and 57 is 4161.

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 57?

First, calculate the GCD of 73 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 57 = 1 remainder 16
2 57 ÷ 16 = 3 remainder 9
3 16 ÷ 9 = 1 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
188 and 173196
117 and 15418018
123 and 19624108
47 and 1898883
79 and 19015010

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