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Least Common Multiple (LCM) of 28 and 57

The least common multiple (LCM) of 28 and 57 is 1596.

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 57?

First, calculate the GCD of 28 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 57 = 0 remainder 28
2 57 ÷ 28 = 2 remainder 1
3 28 ÷ 1 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 110880
180 and 7313140
177 and 6511505
167 and 19232064
57 and 17810146

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