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Least Common Multiple (LCM) of 28 and 15

The least common multiple (LCM) of 28 and 15 is 420.

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 15?

First, calculate the GCD of 28 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 15 = 1 remainder 13
2 15 ÷ 13 = 1 remainder 2
3 13 ÷ 2 = 6 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 1466716
103 and 10210506
55 and 1201320
59 and 563304
130 and 19412610

Try Calculating LCM of Other Numbers







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