Least Common Multiple of 9441 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 9441 and 9447 the smallest integer that is 29729709 that is divisible by both numbers.

Least Common Multiple (LCM) of 9441 and 9447 is 29729709.

LCM(9441,9447) = 29729709

LCM of 9441 and 9447

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

LCM of:
and

Least Common Multiple of 9441 and 9447

LCM of 9441 and 9447 is 29729709

Least common multiple can be found by multiplying the highest exponent prime factors of 9441 and 9447. First we will calculate the prime factors of 9441 and 9447.

Prime Factorization of 9441


3 9441
3 3147
1049 1049
1

Prime factors of 9441 are 3,1049. Prime factorization of 9441 in exponential form is:

9441 = 32×10491

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 9441 and 9447.

LCM(9441,9447) = 32×471×671×10491
LCM(9441,9447) = 29729709

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1, 3, 9, 1049, 3147, 9441

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 9441 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 9441 and 9447, than apply into the LCM equation.

GCF(9441,9447) = 3
LCM(9441,9447) = ( 9441 × 9447) / 3
LCM(9441,9447) = 89189127 / 3
LCM(9441,9447) = 29729709

Properties of LCM 9441 and 9447

(i) The LCM of 9447 and 9441 is associative

LCM of 9441 and 9447 = LCM of 9447 and 9441

Related Least Common Multiples of 9441

Related Least Common Multiples of 9447

Frequently Asked Questions on LCM of 9441 and 9447

1. What is the LCM of 9441 and 9447?

Answer: LCM of 9441 and 9447 is 29729709.

2. What are the Factors of 9441?

Answer: Factors of 9441 are 1, 3, 9, 1049, 3147, 9441. There are 6 integers that are factors of 9441. The greatest factor of 9441 is 9441.

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 9441 and 9447?

Answer:

Least Common Multiple of 9441 and 9447 = 29729709

Step 1: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

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 = 29729709 = 3 x 3 x 47 x 67 x 1049

Step 4: Therefore, the least common multiple of 9441 and 9447 is 29729709.