Least Common Multiple of 5313 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 5313 and 5320 the smallest integer that is 4037880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5313 and 5320 is 4037880.

LCM(5313,5320) = 4037880

LCM of 5313 and 5320

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

LCM of:
and

Least Common Multiple of 5313 and 5320

LCM of 5313 and 5320 is 4037880

Least common multiple can be found by multiplying the highest exponent prime factors of 5313 and 5320. First we will calculate the prime factors of 5313 and 5320.

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 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 5313 and 5320.

LCM(5313,5320) = 23×31×51×71×111×191×231
LCM(5313,5320) = 4037880

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 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 5313 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 5313 and 5320, than apply into the LCM equation.

GCF(5313,5320) = 7
LCM(5313,5320) = ( 5313 × 5320) / 7
LCM(5313,5320) = 28265160 / 7
LCM(5313,5320) = 4037880

Properties of LCM 5313 and 5320

(i) The LCM of 5320 and 5313 is associative

LCM of 5313 and 5320 = LCM of 5320 and 5313

Related Least Common Multiples of 5313

Related Least Common Multiples of 5320

Frequently Asked Questions on LCM of 5313 and 5320

1. What is the LCM of 5313 and 5320?

Answer: LCM of 5313 and 5320 is 4037880.

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 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 5313 and 5320?

Answer:

Least Common Multiple of 5313 and 5320 = 4037880

Step 1: Find the prime factorization of 5313

5313 = 3 x 7 x 11 x 23

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 = 4037880 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 5313 and 5320 is 4037880.