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Least Common Multiple (LCM) of 30 and 73

The least common multiple (LCM) of 30 and 73 is 2190.

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 30 and 73?

First, calculate the GCD of 30 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 73 = 0 remainder 30
2 73 ÷ 30 = 2 remainder 13
3 30 ÷ 13 = 2 remainder 4
4 13 ÷ 4 = 3 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 778855
143 and 18826884
166 and 766308
17 and 1242108
40 and 1194760

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