Least Common Multiple of 5316 and 5320

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 5320 the smallest integer that is 7070280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5316 and 5320 is 7070280.

LCM(5316,5320) = 7070280

LCM of 5316 and 5320

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

LCM of:
and

Least Common Multiple of 5316 and 5320

LCM of 5316 and 5320 is 7070280

Least common multiple can be found by multiplying the highest exponent prime factors of 5316 and 5320. First we will calculate the prime factors of 5316 and 5320.

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 5320


2 5320
2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 5320 are 2, 5, 7,19. Prime factorization of 5320 in exponential form is:

5320 = 23×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5316 and 5320.

LCM(5316,5320) = 23×31×51×71×191×4431
LCM(5316,5320) = 7070280

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 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320

Least Common Multiple of 5316 and 5320 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 5320, than apply into the LCM equation.

GCF(5316,5320) = 4
LCM(5316,5320) = ( 5316 × 5320) / 4
LCM(5316,5320) = 28281120 / 4
LCM(5316,5320) = 7070280

Properties of LCM 5316 and 5320

(i) The LCM of 5320 and 5316 is associative

LCM of 5316 and 5320 = LCM of 5320 and 5316

Related Least Common Multiples of 5316

Related Least Common Multiples of 5320

Frequently Asked Questions on LCM of 5316 and 5320

1. What is the LCM of 5316 and 5320?

Answer: LCM of 5316 and 5320 is 7070280.

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 5320?

Answer: Factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320. There are 32 integers that are factors of 5320. The greatest factor of 5320 is 5320.

4. How to Find the LCM of 5316 and 5320?

Answer:

Least Common Multiple of 5316 and 5320 = 7070280

Step 1: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

Step 2: Find the prime factorization of 5320

5320 = 2 x 2 x 2 x 5 x 7 x 19

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

LCM = 7070280 = 2 x 2 x 2 x 3 x 5 x 7 x 19 x 443

Step 4: Therefore, the least common multiple of 5316 and 5320 is 7070280.