Find The LCM Of 15 and 45

Given: 15 and 45.

To find: We have to find the LCM of 15 and 45.

Solution: 

Write down all of the numbers as a product of their prime factors:

Prime factorization of 15:

• 3 x 5 = 3¹ x 5¹

Prime factorization of 45:

• 3 x 3 x 5 = 3² x 5¹

Find the highest power of each prime number:

• 3², 5¹

Multiply these values together:

• 3² x 5¹ = 45

Thus,

LCM of 15 and 45 = 45

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Updated on: 10-Oct-2022

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