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Least Common Multiple (LCM) of 44 and 11

The least common multiple (LCM) of 44 and 11 is 44.

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 44 and 11?

First, calculate the GCD of 44 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 11 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 24888
126 and 658190
174 and 19333582
155 and 345270
125 and 12115125

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