Least Common Multiple of 9437 and 9444

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 9444 the smallest integer that is 89123028 that is divisible by both numbers.

Least Common Multiple (LCM) of 9437 and 9444 is 89123028.

LCM(9437,9444) = 89123028

LCM of 9437 and 9444

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

LCM of:
and

Least Common Multiple of 9437 and 9444

LCM of 9437 and 9444 is 89123028

Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9444. First we will calculate the prime factors of 9437 and 9444.

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 9444


2 9444
2 4722
3 2361
787 787
1

Prime factors of 9444 are 2, 3,787. Prime factorization of 9444 in exponential form is:

9444 = 22×31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 9437 and 9444.

LCM(9437,9444) = 22×31×7871×94371
LCM(9437,9444) = 89123028

Factors of 9437

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

1, 9437

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444

Least Common Multiple of 9437 and 9444 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 9444, than apply into the LCM equation.

GCF(9437,9444) = 1
LCM(9437,9444) = ( 9437 × 9444) / 1
LCM(9437,9444) = 89123028 / 1
LCM(9437,9444) = 89123028

Properties of LCM 9437 and 9444

(i) The LCM of 9444 and 9437 is associative

LCM of 9437 and 9444 = LCM of 9444 and 9437

Related Least Common Multiples of 9437

Related Least Common Multiples of 9444

Frequently Asked Questions on LCM of 9437 and 9444

1. What is the LCM of 9437 and 9444?

Answer: LCM of 9437 and 9444 is 89123028.

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 9444?

Answer: Factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444. There are 12 integers that are factors of 9444. The greatest factor of 9444 is 9444.

4. How to Find the LCM of 9437 and 9444?

Answer:

Least Common Multiple of 9437 and 9444 = 89123028

Step 1: Find the prime factorization of 9437

9437 = 9437

Step 2: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

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

LCM = 89123028 = 2 x 2 x 3 x 787 x 9437

Step 4: Therefore, the least common multiple of 9437 and 9444 is 89123028.