Least Common Multiple of 9447 and 9453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9447 and 9453 the smallest integer that is 29767497 that is divisible by both numbers.

Least Common Multiple (LCM) of 9447 and 9453 is 29767497.

LCM(9447,9453) = 29767497

LCM of 9447 and 9453

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

LCM of:
and

Least Common Multiple of 9447 and 9453

LCM of 9447 and 9453 is 29767497

Least common multiple can be found by multiplying the highest exponent prime factors of 9447 and 9453. First we will calculate the prime factors of 9447 and 9453.

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

Prime Factorization of 9453


3 9453
23 3151
137 137
1

Prime factors of 9453 are 3, 23,137. Prime factorization of 9453 in exponential form is:

9453 = 31×231×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9447 and 9453.

LCM(9447,9453) = 31×231×471×671×1371
LCM(9447,9453) = 29767497

Factors of 9447

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

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

Factors of 9453

List of positive integer factors of 9453 that divides 9453 without a remainder.

1, 3, 23, 69, 137, 411, 3151, 9453

Least Common Multiple of 9447 and 9453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9447 and 9453, than apply into the LCM equation.

GCF(9447,9453) = 3
LCM(9447,9453) = ( 9447 × 9453) / 3
LCM(9447,9453) = 89302491 / 3
LCM(9447,9453) = 29767497

Properties of LCM 9447 and 9453

(i) The LCM of 9453 and 9447 is associative

LCM of 9447 and 9453 = LCM of 9453 and 9447

Related Least Common Multiples of 9447

Related Least Common Multiples of 9453

Frequently Asked Questions on LCM of 9447 and 9453

1. What is the LCM of 9447 and 9453?

Answer: LCM of 9447 and 9453 is 29767497.

2. 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.

3. What are the Factors of 9453?

Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.

4. How to Find the LCM of 9447 and 9453?

Answer:

Least Common Multiple of 9447 and 9453 = 29767497

Step 1: Find the prime factorization of 9447

9447 = 3 x 47 x 67

Step 2: Find the prime factorization of 9453

9453 = 3 x 23 x 137

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

LCM = 29767497 = 3 x 23 x 47 x 67 x 137

Step 4: Therefore, the least common multiple of 9447 and 9453 is 29767497.