lcm of two numbers formula - Wikitechy https://www.wikitechy.com/interview-questions/tag/lcm-of-two-numbers-formula/ Interview Questions Mon, 06 Sep 2021 12:11:57 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png lcm of two numbers formula - Wikitechy https://www.wikitechy.com/interview-questions/tag/lcm-of-two-numbers-formula/ 32 32 The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/#respond Tue, 17 Aug 2021 17:26:37 +0000 https://www.wikitechy.com/interview-questions/?p=1835

The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares?

A. 175

B. 216

C. 9

D. 135

Answer : D. 135…

504 = 2*2*2*3*3*7 = 8*3*3*7 = 24*21
168 = 2*2*2*3*7
It means 3 will come in both the numbers as 3 is coming once in LCM but coming as 9 in product.
so possible numbers are 24 and 21.

Now the difference of the square of these numbers is a^2-b^2 = (a+b)(a-b)
= (24+21)(24-21)
= 45(3)
= 135

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