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Least Common Multiple (LCM) of 72 and 73

The least common multiple (LCM) of 72 and 73 is 5256.

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 72 and 73?

First, calculate the GCD of 72 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 72 ÷ 73 = 0 remainder 72
2 73 ÷ 72 = 1 remainder 1
3 72 ÷ 1 = 72 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 48240
56 and 1081512
126 and 583654
179 and 6211098
41 and 1616601

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