The least five-digit number which is exactly divisible by 9, 12 and 15 is:

Correct option is D

Given:

We need the least five-digit number divisible by 9, 12, and 15.

Solution:

LCM(9, 12, 15)

Prime factorizations:

9 =$$3^2$$​​

12 $$=2^2 \times 3$$​​

15 =$$3 \times 5$$​​

LCM =$$2^2 \times 3^2 \times 5 = 180$$​​

Smallest 5-digit number divisible by 180

Least 5-digit number = 10000

Next integer$$= \frac{10000}{180} = 55.55$$​

Next integer = 56

​$$180 \times 56 = 10080$$​