Least Common Multiple of 9331 and 9336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9331 and 9336 the smallest integer that is 87114216 that is divisible by both numbers.

Least Common Multiple (LCM) of 9331 and 9336 is 87114216.

LCM(9331,9336) = 87114216

LCM of 9331 and 9336

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

LCM of:
and

Least Common Multiple of 9331 and 9336

LCM of 9331 and 9336 is 87114216

Least common multiple can be found by multiplying the highest exponent prime factors of 9331 and 9336. First we will calculate the prime factors of 9331 and 9336.

Prime Factorization of 9331


7 9331
31 1333
43 43
1

Prime factors of 9331 are 7, 31,43. Prime factorization of 9331 in exponential form is:

9331 = 71×311×431

Prime Factorization of 9336


2 9336
2 4668
2 2334
3 1167
389 389
1

Prime factors of 9336 are 2, 3,389. Prime factorization of 9336 in exponential form is:

9336 = 23×31×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 9331 and 9336.

LCM(9331,9336) = 23×31×71×311×431×3891
LCM(9331,9336) = 87114216

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1, 7, 31, 43, 217, 301, 1333, 9331

Factors of 9336

List of positive integer factors of 9336 that divides 9336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336

Least Common Multiple of 9331 and 9336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9331 and 9336, than apply into the LCM equation.

GCF(9331,9336) = 1
LCM(9331,9336) = ( 9331 × 9336) / 1
LCM(9331,9336) = 87114216 / 1
LCM(9331,9336) = 87114216

Properties of LCM 9331 and 9336

(i) The LCM of 9336 and 9331 is associative

LCM of 9331 and 9336 = LCM of 9336 and 9331

Related Least Common Multiples of 9331

Related Least Common Multiples of 9336

Frequently Asked Questions on LCM of 9331 and 9336

1. What is the LCM of 9331 and 9336?

Answer: LCM of 9331 and 9336 is 87114216.

2. What are the Factors of 9331?

Answer: Factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331. There are 8 integers that are factors of 9331. The greatest factor of 9331 is 9331.

3. What are the Factors of 9336?

Answer: Factors of 9336 are 1, 2, 3, 4, 6, 8, 12, 24, 389, 778, 1167, 1556, 2334, 3112, 4668, 9336. There are 16 integers that are factors of 9336. The greatest factor of 9336 is 9336.

4. How to Find the LCM of 9331 and 9336?

Answer:

Least Common Multiple of 9331 and 9336 = 87114216

Step 1: Find the prime factorization of 9331

9331 = 7 x 31 x 43

Step 2: Find the prime factorization of 9336

9336 = 2 x 2 x 2 x 3 x 389

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

LCM = 87114216 = 2 x 2 x 2 x 3 x 7 x 31 x 43 x 389

Step 4: Therefore, the least common multiple of 9331 and 9336 is 87114216.