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Least Common Multiple (LCM) of 73 and 33

The least common multiple (LCM) of 73 and 33 is 2409.

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 33?

First, calculate the GCD of 73 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 33 = 2 remainder 7
2 33 ÷ 7 = 4 remainder 5
3 7 ÷ 5 = 1 remainder 2
4 5 ÷ 2 = 2 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 1337980
41 and 1676847
71 and 986958
75 and 675025
165 and 6410560

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