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Least Common Multiple (LCM) of 28 and 55

The least common multiple (LCM) of 28 and 55 is 1540.

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 28 and 55?

First, calculate the GCD of 28 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 55 = 0 remainder 28
2 55 ÷ 28 = 1 remainder 27
3 28 ÷ 27 = 1 remainder 1
4 27 ÷ 1 = 27 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 11319662
147 and 1869114
183 and 1267686
139 and 537367
100 and 521300

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