Least Common Multiple of 5315 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 5315 and 5320 the smallest integer that is 5655160 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5320 is 5655160.

LCM(5315,5320) = 5655160

LCM of 5315 and 5320

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

LCM of:
and

Least Common Multiple of 5315 and 5320

LCM of 5315 and 5320 is 5655160

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5320. First we will calculate the prime factors of 5315 and 5320.

Prime Factorization of 5315


5 5315
1063 1063
1

Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:

5315 = 51×10631

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 5315 and 5320.

LCM(5315,5320) = 23×51×71×191×10631
LCM(5315,5320) = 5655160

Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1, 5, 1063, 5315

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 5315 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 5315 and 5320, than apply into the LCM equation.

GCF(5315,5320) = 5
LCM(5315,5320) = ( 5315 × 5320) / 5
LCM(5315,5320) = 28275800 / 5
LCM(5315,5320) = 5655160

Properties of LCM 5315 and 5320

(i) The LCM of 5320 and 5315 is associative

LCM of 5315 and 5320 = LCM of 5320 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5320

Frequently Asked Questions on LCM of 5315 and 5320

1. What is the LCM of 5315 and 5320?

Answer: LCM of 5315 and 5320 is 5655160.

2. What are the Factors of 5315?

Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.

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 5315 and 5320?

Answer:

Least Common Multiple of 5315 and 5320 = 5655160

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

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 = 5655160 = 2 x 2 x 2 x 5 x 7 x 19 x 1063

Step 4: Therefore, the least common multiple of 5315 and 5320 is 5655160.