Least Common Multiple of 5313 and 5316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5313 and 5316 the smallest integer that is 9414636 that is divisible by both numbers.

Least Common Multiple (LCM) of 5313 and 5316 is 9414636.

LCM(5313,5316) = 9414636

LCM of 5313 and 5316

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

LCM of:
and

Least Common Multiple of 5313 and 5316

LCM of 5313 and 5316 is 9414636

Least common multiple can be found by multiplying the highest exponent prime factors of 5313 and 5316. First we will calculate the prime factors of 5313 and 5316.

Prime Factorization of 5313


3 5313
7 1771
11 253
23 23
1

Prime factors of 5313 are 3, 7, 11,23. Prime factorization of 5313 in exponential form is:

5313 = 31×71×111×231

Prime Factorization of 5316


2 5316
2 2658
3 1329
443 443
1

Prime factors of 5316 are 2, 3,443. Prime factorization of 5316 in exponential form is:

5316 = 22×31×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 5313 and 5316.

LCM(5313,5316) = 22×31×71×111×231×4431
LCM(5313,5316) = 9414636

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316

Least Common Multiple of 5313 and 5316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5313 and 5316, than apply into the LCM equation.

GCF(5313,5316) = 3
LCM(5313,5316) = ( 5313 × 5316) / 3
LCM(5313,5316) = 28243908 / 3
LCM(5313,5316) = 9414636

Properties of LCM 5313 and 5316

(i) The LCM of 5316 and 5313 is associative

LCM of 5313 and 5316 = LCM of 5316 and 5313

Related Least Common Multiples of 5313

Related Least Common Multiples of 5316

Frequently Asked Questions on LCM of 5313 and 5316

1. What is the LCM of 5313 and 5316?

Answer: LCM of 5313 and 5316 is 9414636.

2. What are the Factors of 5313?

Answer: Factors of 5313 are 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313. There are 16 integers that are factors of 5313. The greatest factor of 5313 is 5313.

3. What are the Factors of 5316?

Answer: Factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316. There are 12 integers that are factors of 5316. The greatest factor of 5316 is 5316.

4. How to Find the LCM of 5313 and 5316?

Answer:

Least Common Multiple of 5313 and 5316 = 9414636

Step 1: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

Step 2: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

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

LCM = 9414636 = 2 x 2 x 3 x 7 x 11 x 23 x 443

Step 4: Therefore, the least common multiple of 5313 and 5316 is 9414636.