High School

The numbers 120 and 126, written as a product of their prime factors, are:

120 = [tex]2^3 \times 3 \times 5[/tex]
126 = [tex]2 \times 3^2 \times 7[/tex]

Find the smallest number divisible by both 120 and 126.

Answer :

The smallest number would be 2520 which is divisible by 126 and 120 which is determined by the LCM.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 126 and 120 as the product of their prime factors,

126 = 2×3×3×7

120 = 2×2×2×3×5

LCM = 2×2×2×3×3×5×7 = 2520.

Therefore, the smallest integer would be 2520 which is divisible by 126 and 120.

Learn more about Prime Factorization here:

brainly.com/question/4184435

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