Least Common Multiple of 9316 and 9318

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 9318 the smallest integer that is 43403244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9316 and 9318 is 43403244.

LCM(9316,9318) = 43403244

LCM of 9316 and 9318

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

LCM of:
and

Least Common Multiple of 9316 and 9318

LCM of 9316 and 9318 is 43403244

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9318. First we will calculate the prime factors of 9316 and 9318.

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 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2, 3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 9316 and 9318.

LCM(9316,9318) = 22×31×171×1371×15531
LCM(9316,9318) = 43403244

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 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1, 2, 3, 6, 1553, 3106, 4659, 9318

Least Common Multiple of 9316 and 9318 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 9318, than apply into the LCM equation.

GCF(9316,9318) = 2
LCM(9316,9318) = ( 9316 × 9318) / 2
LCM(9316,9318) = 86806488 / 2
LCM(9316,9318) = 43403244

Properties of LCM 9316 and 9318

(i) The LCM of 9318 and 9316 is associative

LCM of 9316 and 9318 = LCM of 9318 and 9316

Related Least Common Multiples of 9316

Related Least Common Multiples of 9318

Frequently Asked Questions on LCM of 9316 and 9318

1. What is the LCM of 9316 and 9318?

Answer: LCM of 9316 and 9318 is 43403244.

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 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

4. How to Find the LCM of 9316 and 9318?

Answer:

Least Common Multiple of 9316 and 9318 = 43403244

Step 1: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

Step 2: Find the prime factorization of 9318

9318 = 2 x 3 x 1553

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

LCM = 43403244 = 2 x 2 x 3 x 17 x 137 x 1553

Step 4: Therefore, the least common multiple of 9316 and 9318 is 43403244.