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Least Common Multiple (LCM) of 162 and 28

The least common multiple (LCM) of 162 and 28 is 2268.

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 162 and 28?

First, calculate the GCD of 162 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 162 ÷ 28 = 5 remainder 22
2 28 ÷ 22 = 1 remainder 6
3 22 ÷ 6 = 3 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 538639
91 and 1039373
181 and 10819548
86 and 635418
43 and 1024386

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