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Least Common Multiple (LCM) of 86 and 28

The least common multiple (LCM) of 86 and 28 is 1204.

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 86 and 28?

First, calculate the GCD of 86 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 28 = 3 remainder 2
2 28 ÷ 2 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 36360
144 and 36144
97 and 17116587
52 and 1062756
185 and 13224420

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