2 x 2 x 2 = 8
3 x 3 x 5 = 45
2 x 2 x 2 x 3 x 3 x 5 = 360, the LCM
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45 = 32 x 51
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
If you divide 45 by 3, you'll get 15. If you divide 15 by 3, you'll get 5. 5 is prime and can't be reduced further. That makes the prime factorization of 45, 3 x 3 x 5.
3^2 x 5
3 x 3 x 5