Question

find the LCM of 72 and 90 by using prime factorisation​

Answer 1

Answer:

determines the least common multiple (LCM) between 72 and 90 the smallest integer that is 360 that is divisible by both numbers.

Least Common Multiple (LCM) of 72 and 90 is 360.

LCM(72,90) = 360Least common multiple can be found by multiplying the highest exponent prime factors of 72 and 90. First we will calculate the prime factors of 72 and 90.

Prime Factorization of 72

2 72

2 36

2 18

3 9

3 3

1

Prime factors of 72 are 2,3. Prime factorization of 72 in exponential form is:

72 = 23×32

Prime Factorization of 90

2 90

3 45

3 15

5 5

1

Prime factors of 90 are 2, 3,5. Prime factorization of 90 in exponential form is:

90 = 21×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 72 and 90.

LCM(72,90) = 23×32×51

LCM(72,90) = 360

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Step-by-step explanation:

hope it helps you

Answer 2

first you can get LCM of 72,90 and the final answer is 18