Two numbers have prime factorizations of 2^2 x 3^2 x 5 and 2 x 3 x 5. Which expression can be used to find their least common multiple

Question

Two numbers have prime factorizations of 2^2 x 3^2 x 5 and 2 x 3 x 5. Which expression can be used to find their least common multiple

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Thiên Di 3 years 2021-08-22T20:44:20+00:00 1 Answers 7 views 0

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    2021-08-22T20:45:39+00:00

    Answer:  2^2 x 3^2 x 5

    You can use a star symbol * in place of the x symbols.

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    Explanation:

    We simply circle the primes where they have the largest exponent.

    The unique primes listed here are: 2, 3, 5

    • The prime 2 has the highest exponent of 2, meaning 2^2 is part of the answer.
    • The prime 3 has the highest exponent of 2, meaning 3^2 is also part of the LCM
    • The prime 5, without any exponent, is also part of the LCM. We can write this as 5^1 or just leave it as 5.

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