Question

What is the Least Common Multiple (LCM) of 4 and 9?

Answer 1

Answer:

36

Least Common Multiple (LCM) of 4 and 9 is 36

Answer 2

Step-by-step explanation:

Prime Factorization of 4

2 4

2 2

1

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 2 square

Prime Factorization of 9

3 9

3 3

1

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 3square

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 9.

LCM(4,9) = 2 square×3 square

LCM(4,9) = 36

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2, 4

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1, 3, 9