Least Common Multiple of 9444 and 9452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9444 and 9452 the smallest integer that is 22316172 that is divisible by both numbers.

Least Common Multiple (LCM) of 9444 and 9452 is 22316172.

LCM(9444,9452) = 22316172

LCM of 9444 and 9452

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

LCM of:
and

Least Common Multiple of 9444 and 9452

LCM of 9444 and 9452 is 22316172

Least common multiple can be found by multiplying the highest exponent prime factors of 9444 and 9452. First we will calculate the prime factors of 9444 and 9452.

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

Prime Factorization of 9452


2 9452
2 4726
17 2363
139 139
1

Prime factors of 9452 are 2, 17,139. Prime factorization of 9452 in exponential form is:

9452 = 22×171×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9444 and 9452.

LCM(9444,9452) = 22×31×171×1391×7871
LCM(9444,9452) = 22316172

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

Factors of 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452

Least Common Multiple of 9444 and 9452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9444 and 9452, than apply into the LCM equation.

GCF(9444,9452) = 4
LCM(9444,9452) = ( 9444 × 9452) / 4
LCM(9444,9452) = 89264688 / 4
LCM(9444,9452) = 22316172

Properties of LCM 9444 and 9452

(i) The LCM of 9452 and 9444 is associative

LCM of 9444 and 9452 = LCM of 9452 and 9444

Related Least Common Multiples of 9444

Related Least Common Multiples of 9452

Frequently Asked Questions on LCM of 9444 and 9452

1. What is the LCM of 9444 and 9452?

Answer: LCM of 9444 and 9452 is 22316172.

2. 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.

3. What are the Factors of 9452?

Answer: Factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452. There are 12 integers that are factors of 9452. The greatest factor of 9452 is 9452.

4. How to Find the LCM of 9444 and 9452?

Answer:

Least Common Multiple of 9444 and 9452 = 22316172

Step 1: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

Step 2: Find the prime factorization of 9452

9452 = 2 x 2 x 17 x 139

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

LCM = 22316172 = 2 x 2 x 3 x 17 x 139 x 787

Step 4: Therefore, the least common multiple of 9444 and 9452 is 22316172.