Least Common Multiple of 9316 and 9324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9316 and 9324 the smallest integer that is 21715596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9316 and 9324 is 21715596.

LCM(9316,9324) = 21715596

LCM of 9316 and 9324

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

LCM of:
and

Least Common Multiple of 9316 and 9324

LCM of 9316 and 9324 is 21715596

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9324. First we will calculate the prime factors of 9316 and 9324.

Prime Factorization of 9316


2 9316
2 4658
17 2329
137 137
1

Prime factors of 9316 are 2, 17,137. Prime factorization of 9316 in exponential form is:

9316 = 22×171×1371

Prime Factorization of 9324


2 9324
2 4662
3 2331
3 777
7 259
37 37
1

Prime factors of 9324 are 2, 3, 7,37. Prime factorization of 9324 in exponential form is:

9324 = 22×32×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9316 and 9324.

LCM(9316,9324) = 22×32×71×171×371×1371
LCM(9316,9324) = 21715596

Factors of 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324

Least Common Multiple of 9316 and 9324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9316 and 9324, than apply into the LCM equation.

GCF(9316,9324) = 4
LCM(9316,9324) = ( 9316 × 9324) / 4
LCM(9316,9324) = 86862384 / 4
LCM(9316,9324) = 21715596

Properties of LCM 9316 and 9324

(i) The LCM of 9324 and 9316 is associative

LCM of 9316 and 9324 = LCM of 9324 and 9316

Related Least Common Multiples of 9316

Related Least Common Multiples of 9324

Frequently Asked Questions on LCM of 9316 and 9324

1. What is the LCM of 9316 and 9324?

Answer: LCM of 9316 and 9324 is 21715596.

2. What are the Factors of 9316?

Answer: Factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316. There are 12 integers that are factors of 9316. The greatest factor of 9316 is 9316.

3. What are the Factors of 9324?

Answer: Factors of 9324 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324. There are 36 integers that are factors of 9324. The greatest factor of 9324 is 9324.

4. How to Find the LCM of 9316 and 9324?

Answer:

Least Common Multiple of 9316 and 9324 = 21715596

Step 1: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

Step 2: Find the prime factorization of 9324

9324 = 2 x 2 x 3 x 3 x 7 x 37

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

LCM = 21715596 = 2 x 2 x 3 x 3 x 7 x 17 x 37 x 137

Step 4: Therefore, the least common multiple of 9316 and 9324 is 21715596.