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Least Common Multiple (LCM) of 28 and 77

The least common multiple (LCM) of 28 and 77 is 308.

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 77?

First, calculate the GCD of 28 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 77 = 0 remainder 28
2 77 ÷ 28 = 2 remainder 21
3 28 ÷ 21 = 1 remainder 7
4 21 ÷ 7 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 811620
173 and 559515
134 and 1087236
136 and 11515640
151 and 385738

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