Least Common Multiple of 9437 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 9437 and 9443 the smallest integer that is 89113591 that is divisible by both numbers.

Least Common Multiple (LCM) of 9437 and 9443 is 89113591.

LCM(9437,9443) = 89113591

LCM of 9437 and 9443

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

LCM of:
and

Least Common Multiple of 9437 and 9443

LCM of 9437 and 9443 is 89113591

Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9443. First we will calculate the prime factors of 9437 and 9443.

Prime Factorization of 9437


9437 9437
1

Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:

9437 = 94371

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 9437 and 9443.

LCM(9437,9443) = 71×191×711×94371
LCM(9437,9443) = 89113591

Factors of 9437

List of positive integer factors of 9437 that divides 9437 without a remainder.

1, 9437

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 9437 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 9437 and 9443, than apply into the LCM equation.

GCF(9437,9443) = 1
LCM(9437,9443) = ( 9437 × 9443) / 1
LCM(9437,9443) = 89113591 / 1
LCM(9437,9443) = 89113591

Properties of LCM 9437 and 9443

(i) The LCM of 9443 and 9437 is associative

LCM of 9437 and 9443 = LCM of 9443 and 9437

Related Least Common Multiples of 9437

Related Least Common Multiples of 9443

Frequently Asked Questions on LCM of 9437 and 9443

1. What is the LCM of 9437 and 9443?

Answer: LCM of 9437 and 9443 is 89113591.

2. What are the Factors of 9437?

Answer: Factors of 9437 are 1, 9437. There are 2 integers that are factors of 9437. The greatest factor of 9437 is 9437.

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 9437 and 9443?

Answer:

Least Common Multiple of 9437 and 9443 = 89113591

Step 1: Find the prime factorization of 9437

9437 = 9437

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 = 89113591 = 7 x 19 x 71 x 9437

Step 4: Therefore, the least common multiple of 9437 and 9443 is 89113591.