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Least Common Multiple (LCM) of 30 and 55

The least common multiple (LCM) of 30 and 55 is 330.

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 55?

First, calculate the GCD of 30 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 55 = 0 remainder 30
2 55 ÷ 30 = 1 remainder 25
3 30 ÷ 25 = 1 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1664316
33 and 187561
171 and 10618126
117 and 19122347
119 and 17620944

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