The prime factorization of 90 with exponents is: 2 x 32 x 5
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90 = 2 * 3 * 3 * 5 = 2 * 32 * 5
Prime factorization of 90 = 2x3x3x5
To find the Least Common Multiple (LCM) of 45, 90, and 105, we first need to find the prime factorization of each number. The prime factorization of 45 is 3 x 3 x 5, 90 is 2 x 3 x 3 x 5, and 105 is 3 x 5 x 7. Then, we take the highest power of each prime factor that appears in any of the factorizations, which gives us 2 x 3^2 x 5 x 7 = 630. Therefore, the LCM of 45, 90, and 105 is 630.
The prime factorization of 90 is 2 x 3² x 5. There must be a 3 in one number and 3² in the other, and no other common prime factors; thus the number pair could be: 3 and 90 6 and 45 9 and 30 15 and 18
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