What is the LCM of 15 and 25?

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SSC MTS (2022) Official Paper (Held On: 02 May 2023 Shift 1)
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  1. 25
  2. 105
  3. 75
  4. 125

Answer (Detailed Solution Below)

Option 3 : 75
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Detailed Solution

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Given:

Numbers: 15 and 25

Concept:

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both.

Solution:

⇒ Find the prime factorization of 15: 3 × 5

⇒ Find prime factorization of 25: 5 × 5

⇒ LCM is the product of the highest powers of all prime numbers: 31 × 52 = 75

Therefore, the LCM of 15 and 25 is 75.

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