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In order to find least common multiples (LCMs) using prime factorization, start by factoring each number all the way down to prime numbers (numbers that are only divisible by one and themselves).
18 = 2*3*3 (or 2 * 3^2)
24 = 2*2*2*3 (or 2^3 * 3)
Pull all of the factors from one of the numbers (I'll use 2^3 * 3), and then, since we want the least common multiple, we'll need to include factors from the other number that weren't already used.
Since I already have 2^3, I don't need to multiply by 2, but since 18 has 3^2, and I'm only using 3, I need to multiply in another 3.
So, 24*3 = 72, which is the LCM of 24 & 18.
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What is the LCM of 18 and 45 using prime factorization?
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
What is the LCM of 6 9 and 36?
To find the Least Common Multiple (LCM) of 6, 9, and 36, we first need to factor each number into its prime factors. The prime factorization of 6 is 2 x 3, the prime factorization of 9 is 3 x 3, and the prime factorization of 36 is 2 x 2 x 3 x 3. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 x 3^2 = 36. Therefore, the LCM of 6, 9, and 36 is 36.
What is the LCM of 4 and 18 using prime factorization?
2 x 2 = 42 x 3 x 3 = 18Combine the factors, eliminating duplicates.2 x 2 x 3 x 3 = 36, the LCM
What is the LCM of 6 7 and 18?
Well, darling, the LCM of 6, 7, and 18 is 126. It's like finding the least common multiple of a trio of numbers – just multiply the highest power of each prime factor that appears in the numbers. Easy peasy lemon squeezy!
What is the prime factorization of 18 and 56?
The prime factorization of 18 is 2 x 3 x 3. The prime factorization of 56 is 2 x 2 x 2 x7.
