Question

The product of two numbers is 2736, and their GCD is 19. Find their LCM.

a) 19
b) 144
c) 2736
d) 51144

Answer 1

To find the LCM of two numbers given their product and GCD, divide the product by the GCD. The LCM, in this case, is 144.The answer is (b) 144.

Step-by-step explanation:

The relationship between the Greatest Common Divisor (GCD) of two numbers and their Least Common Multiple (LCM) can be expressed by the formula:

GCD × LCM = Product of the two numbers

Given that the GCD is 19 and the product of the two numbers is 2736, we can find the LCM by rearranging the formula to solve for LCM:

LCM = Product / GCD

LCM = 2736 / 19

LCM = 144

Therefore, the least common multiple of the two numbers is 144. The answer is (b) 144.