Least Common Multiple of 9439 and 9443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 9439 and 9443 the smallest integer that is 89132477 that is divisible by both numbers.

Least Common Multiple (LCM) of 9439 and 9443 is 89132477.

LCM(9439,9443) = 89132477

LCM of 9439 and 9443

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

LCM of:
and

Least Common Multiple of 9439 and 9443

LCM of 9439 and 9443 is 89132477

Least common multiple can be found by multiplying the highest exponent prime factors of 9439 and 9443. First we will calculate the prime factors of 9439 and 9443.

Prime Factorization of 9439


9439 9439
1

Prime factors of 9439 are 9439. Prime factorization of 9439 in exponential form is:

9439 = 94391

Prime Factorization of 9443


7 9443
19 1349
71 71
1

Prime factors of 9443 are 7, 19,71. Prime factorization of 9443 in exponential form is:

9443 = 71×191×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9439 and 9443.

LCM(9439,9443) = 71×191×711×94391
LCM(9439,9443) = 89132477

Factors of 9439

List of positive integer factors of 9439 that divides 9439 without a remainder.

1, 9439

Factors of 9443

List of positive integer factors of 9443 that divides 9443 without a remainder.

1, 7, 19, 71, 133, 497, 1349, 9443

Least Common Multiple of 9439 and 9443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9439 and 9443, than apply into the LCM equation.

GCF(9439,9443) = 1
LCM(9439,9443) = ( 9439 × 9443) / 1
LCM(9439,9443) = 89132477 / 1
LCM(9439,9443) = 89132477

Properties of LCM 9439 and 9443

(i) The LCM of 9443 and 9439 is associative

LCM of 9439 and 9443 = LCM of 9443 and 9439

Frequently Asked Questions on LCM of 9439 and 9443

1. What is the LCM of 9439 and 9443?

Answer: LCM of 9439 and 9443 is 89132477.

2. What are the Factors of 9439?

Answer: Factors of 9439 are 1, 9439. There are 2 integers that are factors of 9439. The greatest factor of 9439 is 9439.

3. What are the Factors of 9443?

Answer: Factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443. There are 8 integers that are factors of 9443. The greatest factor of 9443 is 9443.

4. How to Find the LCM of 9439 and 9443?

Answer:

Least Common Multiple of 9439 and 9443 = 89132477

Step 1: Find the prime factorization of 9439

9439 = 9439

Step 2: Find the prime factorization of 9443

9443 = 7 x 19 x 71

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

LCM = 89132477 = 7 x 19 x 71 x 9439

Step 4: Therefore, the least common multiple of 9439 and 9443 is 89132477.