Question

Two numbers decomposed into prime factors are expressed as follows: 2³. 3. 5 is 2². 3².7 Indicate the number of prime factors Which represents the least common multiple of these numbers

Answer 1

2³. 3². 5. 7

Explanation:

Since the first number is 2³. 3. 5 and the second number is 2². 3².7, we multiply the prime number with the highest exponents.

Since 2³. 3. 5 = 2³. 3¹. 5¹. 7⁰ and 2². 3².7 = 2². 3². 5⁰. 7¹ ,we multiply the prime number with the highest powers to get the least common multiple of both numbers, so, we have the L.C.M = 2³. 3². 5¹. 7¹ = 2³. 3². 5. 7