Question

Match the following pairs of numbers with their least common multiples.

Number pairs	LCM
(i) 6, 9	(a) 18
(ii) 12, 18	(b) 36

• A. (i) and (a), (ii) and (b)
• B. (i) and (b), (ii) and (a)
• C. (i) and (b), (ii) and (b)
• D. (i) and (a), (ii) and (b)

Answer 1

The correct option is A (i) and (a), (ii) and (b)

We can find the LCM using the prime factorization method.

The prime factors of 6 are: 2 × 3
The prime factors of 9 are: 3 × 3

Thus, the least common multiple of 6 and 9 is: 2 × 3 × 3 = 18

The prime factors of 12 are: 2 × 2 × 3
The prime factors of 18 are: 2 × 3 × 3

Thus, the least common multiple of 12 and 18 is: 2 × 2 × 3 × 3 = 36

Hence, we match the columns as (i) and (a), (ii) and (b).