Least Common Multiple of 5316 and 5321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5316 and 5321 the smallest integer that is 28286436 that is divisible by both numbers.

Least Common Multiple (LCM) of 5316 and 5321 is 28286436.

LCM(5316,5321) = 28286436

LCM of 5316 and 5321

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

LCM of:
and

Least Common Multiple of 5316 and 5321

LCM of 5316 and 5321 is 28286436

Least common multiple can be found by multiplying the highest exponent prime factors of 5316 and 5321. First we will calculate the prime factors of 5316 and 5321.

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

Prime Factorization of 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5316 and 5321.

LCM(5316,5321) = 22×31×171×3131×4431
LCM(5316,5321) = 28286436

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

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1, 17, 313, 5321

Least Common Multiple of 5316 and 5321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5316 and 5321, than apply into the LCM equation.

GCF(5316,5321) = 1
LCM(5316,5321) = ( 5316 × 5321) / 1
LCM(5316,5321) = 28286436 / 1
LCM(5316,5321) = 28286436

Properties of LCM 5316 and 5321

(i) The LCM of 5321 and 5316 is associative

LCM of 5316 and 5321 = LCM of 5321 and 5316

Related Least Common Multiples of 5316

Related Least Common Multiples of 5321

Frequently Asked Questions on LCM of 5316 and 5321

1. What is the LCM of 5316 and 5321?

Answer: LCM of 5316 and 5321 is 28286436.

2. 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.

3. What are the Factors of 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

4. How to Find the LCM of 5316 and 5321?

Answer:

Least Common Multiple of 5316 and 5321 = 28286436

Step 1: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

Step 2: Find the prime factorization of 5321

5321 = 17 x 313

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

LCM = 28286436 = 2 x 2 x 3 x 17 x 313 x 443

Step 4: Therefore, the least common multiple of 5316 and 5321 is 28286436.