Least Common Multiple of 9367 and 9372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9367 and 9372 the smallest integer that is 87787524 that is divisible by both numbers.

Least Common Multiple (LCM) of 9367 and 9372 is 87787524.

LCM(9367,9372) = 87787524

LCM of 9367 and 9372

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

LCM of:
and

Least Common Multiple of 9367 and 9372

LCM of 9367 and 9372 is 87787524

Least common multiple can be found by multiplying the highest exponent prime factors of 9367 and 9372. First we will calculate the prime factors of 9367 and 9372.

Prime Factorization of 9367


17 9367
19 551
29 29
1

Prime factors of 9367 are 17, 19,29. Prime factorization of 9367 in exponential form is:

9367 = 171×191×291

Prime Factorization of 9372


2 9372
2 4686
3 2343
11 781
71 71
1

Prime factors of 9372 are 2, 3, 11,71. Prime factorization of 9372 in exponential form is:

9372 = 22×31×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9367 and 9372.

LCM(9367,9372) = 22×31×111×171×191×291×711
LCM(9367,9372) = 87787524

Factors of 9367

List of positive integer factors of 9367 that divides 9367 without a remainder.

1, 17, 19, 29, 323, 493, 551, 9367

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372

Least Common Multiple of 9367 and 9372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9367 and 9372, than apply into the LCM equation.

GCF(9367,9372) = 1
LCM(9367,9372) = ( 9367 × 9372) / 1
LCM(9367,9372) = 87787524 / 1
LCM(9367,9372) = 87787524

Properties of LCM 9367 and 9372

(i) The LCM of 9372 and 9367 is associative

LCM of 9367 and 9372 = LCM of 9372 and 9367

Related Least Common Multiples of 9367

Related Least Common Multiples of 9372

Frequently Asked Questions on LCM of 9367 and 9372

1. What is the LCM of 9367 and 9372?

Answer: LCM of 9367 and 9372 is 87787524.

2. What are the Factors of 9367?

Answer: Factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367. There are 8 integers that are factors of 9367. The greatest factor of 9367 is 9367.

3. What are the Factors of 9372?

Answer: Factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372. There are 24 integers that are factors of 9372. The greatest factor of 9372 is 9372.

4. How to Find the LCM of 9367 and 9372?

Answer:

Least Common Multiple of 9367 and 9372 = 87787524

Step 1: Find the prime factorization of 9367

9367 = 17 x 19 x 29

Step 2: Find the prime factorization of 9372

9372 = 2 x 2 x 3 x 11 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 = 87787524 = 2 x 2 x 3 x 11 x 17 x 19 x 29 x 71

Step 4: Therefore, the least common multiple of 9367 and 9372 is 87787524.