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Least Common Multiple (LCM) of 147 and 27

The least common multiple (LCM) of 147 and 27 is 1323.

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 147 and 27?

First, calculate the GCD of 147 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 27 = 5 remainder 12
2 27 ÷ 12 = 2 remainder 3
3 12 ÷ 3 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 1161276
126 and 415166
82 and 554510
81 and 842268
130 and 1854810

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