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Least Common Multiple (LCM) of 55 and 41

The least common multiple (LCM) of 55 and 41 is 2255.

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 55 and 41?

First, calculate the GCD of 55 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 41 = 1 remainder 14
2 41 ÷ 14 = 2 remainder 13
3 14 ÷ 13 = 1 remainder 1
4 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
88 and 261144
126 and 1106930
173 and 254325
159 and 6810812
137 and 15821646

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