Least Common Multiple of 9440 and 9447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9440 and 9447 the smallest integer that is 89179680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9440 and 9447 is 89179680.

LCM(9440,9447) = 89179680

LCM of 9440 and 9447

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9440 and 9447

LCM of 9440 and 9447 is 89179680

Least common multiple can be found by multiplying the highest exponent prime factors of 9440 and 9447. First we will calculate the prime factors of 9440 and 9447.

Prime Factorization of 9440


2 9440
2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 9440 are 2, 5,59. Prime factorization of 9440 in exponential form is:

9440 = 25×51×591

Prime Factorization of 9447


3 9447
47 3149
67 67
1

Prime factors of 9447 are 3, 47,67. Prime factorization of 9447 in exponential form is:

9447 = 31×471×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9440 and 9447.

LCM(9440,9447) = 25×31×51×471×591×671
LCM(9440,9447) = 89179680

Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440

Factors of 9447

List of positive integer factors of 9447 that divides 9447 without a remainder.

1, 3, 47, 67, 141, 201, 3149, 9447

Least Common Multiple of 9440 and 9447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9440 and 9447, than apply into the LCM equation.

GCF(9440,9447) = 1
LCM(9440,9447) = ( 9440 × 9447) / 1
LCM(9440,9447) = 89179680 / 1
LCM(9440,9447) = 89179680

Properties of LCM 9440 and 9447

(i) The LCM of 9447 and 9440 is associative

LCM of 9440 and 9447 = LCM of 9447 and 9440

Related Least Common Multiples of 9440

Related Least Common Multiples of 9447

Frequently Asked Questions on LCM of 9440 and 9447

1. What is the LCM of 9440 and 9447?

Answer: LCM of 9440 and 9447 is 89179680.

2. What are the Factors of 9440?

Answer: Factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440. There are 24 integers that are factors of 9440. The greatest factor of 9440 is 9440.

3. What are the Factors of 9447?

Answer: Factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447. There are 8 integers that are factors of 9447. The greatest factor of 9447 is 9447.

4. How to Find the LCM of 9440 and 9447?

Answer:

Least Common Multiple of 9440 and 9447 = 89179680

Step 1: Find the prime factorization of 9440

9440 = 2 x 2 x 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 9447

9447 = 3 x 47 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 89179680 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 x 59 x 67

Step 4: Therefore, the least common multiple of 9440 and 9447 is 89179680.