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Least Common Multiple (LCM) of 163 and 28

The least common multiple (LCM) of 163 and 28 is 4564.

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 163 and 28?

First, calculate the GCD of 163 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 28 = 5 remainder 23
2 28 ÷ 23 = 1 remainder 5
3 23 ÷ 5 = 4 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 721656
190 and 1355130
195 and 12824960
12 and 1752100
53 and 975141

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