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Least Common Multiple (LCM) of 30 and 53

The least common multiple (LCM) of 30 and 53 is 1590.

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 53?

First, calculate the GCD of 30 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 53 = 0 remainder 30
2 53 ÷ 30 = 1 remainder 23
3 30 ÷ 23 = 1 remainder 7
4 23 ÷ 7 = 3 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 17532025
59 and 1498791
137 and 10213974
137 and 17423838
166 and 18215106

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