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Least Common Multiple (LCM) of 22 and 73

The least common multiple (LCM) of 22 and 73 is 1606.

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 22 and 73?

First, calculate the GCD of 22 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 73 = 0 remainder 22
2 73 ÷ 22 = 3 remainder 7
3 22 ÷ 7 = 3 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
108 and 60540
25 and 721800
79 and 1239717
53 and 804240
22 and 671474

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