lcm of 16a and 14ab

Question

Find the LCM of 16a and 14ab?.....

Answer 1

list the prime factors of each number.

prime factors of 16a = 2 x 2 x 2 x 2 x a = 2⁴ x a.

prime factors of 14ab = 2 x 7 x a x b = 2¹ x 7¹ x a x b.

LCM is the product of each factor the greatest number of times it occurs in any number.

LCM = 2⁴ * 7¹ * a * b = 112ab.

Least common multiple of 16a and 14ab is 112ab.