find two pairs of numbers with the given number as their least common multiple 36

36 = 4 • 9

36 = 2² • 3²

The least common multiple is the product of the unique factors to the highest power that they appear in either of the pair of numbers.

At least one of the numbers must have 2² = 4 as a factor, and at least one of them must have 3² = 9 as a factor.

Possible choices for pairs that have 36 as their least common multiple include:

(1, 36) , (2, 36) , (3, 36) , (4, 36) , (6,36) , (9, 36) , (12, 36) , (18, 36) ,
(4, 18) , (12, 18) , (9, 12) , (4, 9)