Least Common Multiple of 9441 and 9449

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 9449 the smallest integer that is 89208009 that is divisible by both numbers.

Least Common Multiple (LCM) of 9441 and 9449 is 89208009.

LCM(9441,9449) = 89208009

LCM of 9441 and 9449

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

LCM of:
and

Least Common Multiple of 9441 and 9449

LCM of 9441 and 9449 is 89208009

Least common multiple can be found by multiplying the highest exponent prime factors of 9441 and 9449. First we will calculate the prime factors of 9441 and 9449.

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 9449


11 9449
859 859
1

Prime factors of 9449 are 11,859. Prime factorization of 9449 in exponential form is:

9449 = 111×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 9441 and 9449.

LCM(9441,9449) = 32×111×8591×10491
LCM(9441,9449) = 89208009

Factors of 9441

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

1, 3, 9, 1049, 3147, 9441

Factors of 9449

List of positive integer factors of 9449 that divides 9449 without a remainder.

1, 11, 859, 9449

Least Common Multiple of 9441 and 9449 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 9449, than apply into the LCM equation.

GCF(9441,9449) = 1
LCM(9441,9449) = ( 9441 × 9449) / 1
LCM(9441,9449) = 89208009 / 1
LCM(9441,9449) = 89208009

Properties of LCM 9441 and 9449

(i) The LCM of 9449 and 9441 is associative

LCM of 9441 and 9449 = LCM of 9449 and 9441

Related Least Common Multiples of 9441

Related Least Common Multiples of 9449

Frequently Asked Questions on LCM of 9441 and 9449

1. What is the LCM of 9441 and 9449?

Answer: LCM of 9441 and 9449 is 89208009.

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 9449?

Answer: Factors of 9449 are 1, 11, 859, 9449. There are 4 integers that are factors of 9449. The greatest factor of 9449 is 9449.

4. How to Find the LCM of 9441 and 9449?

Answer:

Least Common Multiple of 9441 and 9449 = 89208009

Step 1: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

Step 2: Find the prime factorization of 9449

9449 = 11 x 859

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

LCM = 89208009 = 3 x 3 x 11 x 859 x 1049

Step 4: Therefore, the least common multiple of 9441 and 9449 is 89208009.