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Least Common Multiple (LCM) of 41 and 93

The least common multiple (LCM) of 41 and 93 is 3813.

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 93?

First, calculate the GCD of 41 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 93 = 0 remainder 41
2 93 ÷ 41 = 2 remainder 11
3 41 ÷ 11 = 3 remainder 8
4 11 ÷ 8 = 1 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
106 and 16317278
23 and 39897
123 and 8810824
198 and 11211088
66 and 154462

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