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Least Common Multiple (LCM) of 28 and 52

The least common multiple (LCM) of 28 and 52 is 364.

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 52?

First, calculate the GCD of 28 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 52 = 0 remainder 28
2 52 ÷ 28 = 1 remainder 24
3 28 ÷ 24 = 1 remainder 4
4 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 10310300
137 and 537261
154 and 9714938
124 and 1324092
152 and 1711368

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