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Least Common Multiple (LCM) of 41 and 11

The least common multiple (LCM) of 41 and 11 is 451.

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 41 and 11?

First, calculate the GCD of 41 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 11 = 3 remainder 8
2 11 ÷ 8 = 1 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 421806
63 and 744662
33 and 1846072
130 and 751950
173 and 528996

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