How many ordered pairs (a, b) exist such that LCM of a and b is 23 57 1113 (a, b ∈ N)?2460283526452840

Question

How many ordered pairs (a, b) exist such that LCM of a and b is 23 57 1113 (a, b ∈ N)?2460283526452840
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Solution 1

The given number is 23 57 1113.

First, we need to find the prime factorization of this number.

23 57 1113 = 3^2 * 7^2 * 11^3 * 13^3 * 17^2 * 19^2 * 23^2 * 29^2 * 31^2 * 37^2 * 41^2 * 43^2 * 47^2 * 53^2 * 59^2 * 61^2 * 67^2 * 71^2 * 73^2 * 79^2 * 83^2 * 89^2 * 97^2 * 101^2 * 103^2 * 107^2 * 109^2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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