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Least Common Multiple Calculator

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Example
Created on 2024-06-20Asked by Mateo Perez (Solvelet student)
Find the least common multiple (LCM) of 12 and 18.

Solution

To find the least common multiple (LCM) of 12 and 18, we first find their prime factorizations: 12=22⋅3 12 = 2^2 \cdot 3 18=2⋅32 18 = 2 \cdot 3^2 The LCM is found by taking the highest power of each prime that appears in the factorizations: LCM(12,18)=22⋅32=4⋅9=36 \text{LCM}(12, 18) = 2^2 \cdot 3^2 = 4 \cdot 9 = 36 Therefore, the least common multiple of 12 and 18 is 36. Solved on Solvelet with Basic AI Model
Some of the related questions asked by Levi Wright on Solvelet
1. Find the least common multiple of 1212 and 1818,2. Determine the quadratic function that best fits the data points (1,1)(1, 1), (2,4)(2, 4), and (3,9)(3, 9) using least squares approximation.,
DefinitionLeast common multiple Common multipleicode: en is the smallest positive or zero value lcm(x, y)(lcm(x,y)) that is a multiple of (divisible by) both x and y. The LCM finds application in several mathematical operations such as sum and difference of fractions respectively with diverse denominators, in the problems that repeat cycles in nature. Eg: LCM of 4 and 6 = 12 as 12 is the minimum number which is the factor of both 4 and 6.
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