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Least Common Multiple (LCM) of 106 and 27

The least common multiple (LCM) of 106 and 27 is 2862.

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 106 and 27?

First, calculate the GCD of 106 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 106 ÷ 27 = 3 remainder 25
2 27 ÷ 25 = 1 remainder 2
3 25 ÷ 2 = 12 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
181 and 18733847
105 and 1986930
20 and 13260
131 and 8210742
197 and 13726989

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