The prime factorizations of 88 and 92 are shown.

88 = 2 × 2 × 2 × 11
99 = 2 × 2 × 23

Which product is the least common multiple of 88 and 92?

Respuesta :

[tex]\boxed{LCM=2024}[/tex]

Explanation:

The Least Common Multiple of two integers, say, a and b is the smallest positive integer that is divisible by both a and b. It is usually denoted by LCM(a, b). From the statement we know that the prime factorization of 88 and 92 are:

[tex]88 = 2\times 2 \times 2 \times 11 \\ \\ 99 = 2 \times 2 \times 23[/tex]

So we can find the LCM by taking the common terms with the greatest exponent and the non-common terms, so:

[tex]LCM=2\times 2\times 2 \times 11 \times 23 \\ \\ \boxed{LCM=2024}[/tex]

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LCM: https://brainly.com/question/10415148

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Answer:

2 x 2 x 2 x 11 x 23

Step-by-step explanation:

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