The H.C.F of two numbers 9 and 12 is 3. Find its L.C.M.
36
Given numbers are 9 and 12.
The product of L.C.M and H.C.F of any two numbers is equal to the product of the numbers.
i.e.,L.C.M of 9 and 12 × H.C.F of 9 and 12 = product of 9 and 12.
∴L.C.M of 9 and 12 = product of 9 and 12H.C.F of 9 and 12
Given, H.C.F of 9 and 12 = 3
Product of 9 and 12 = 9 × 12= 108
⇒L.C.M of 9 and 12 = 1083 = 36