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Least Common Multiple (LCM) of 27 and 164

The least common multiple (LCM) of 27 and 164 is 4428.

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 27 and 164?

First, calculate the GCD of 27 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 164 = 0 remainder 27
2 164 ÷ 27 = 6 remainder 2
3 27 ÷ 2 = 13 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 1109460
28 and 17476
147 and 385586
29 and 481392
169 and 11319097

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