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Find the LCM by prime factorization method.

15 and 25

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15 and 25

To find the LCM of 15 and 25. 

First find the factors of 15, 25 and then find the common factors of 15 and 25.

Prime factorization of 15 = 3 x 5

Prime factorization of 25 = 5 x 5 

Common factors of 15, 25 = 5 

Extra factors of 15 and 25 = 3 x 5 

∴ LCM of 15 and 25 = Common factor x extra factors 

= 5 x 3 x 5 = 75 

Hence the LCM of 15 and 25 is 75.

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