Least Common Multiple of 5315 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 5315 and 5316 the smallest integer that is 28254540 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5316 is 28254540.

LCM(5315,5316) = 28254540

LCM of 5315 and 5316

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

LCM of:
and

Least Common Multiple of 5315 and 5316

LCM of 5315 and 5316 is 28254540

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5316. First we will calculate the prime factors of 5315 and 5316.

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 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 5315 and 5316.

LCM(5315,5316) = 22×31×51×4431×10631
LCM(5315,5316) = 28254540

Factors of 5315

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

1, 5, 1063, 5315

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 5315 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 5315 and 5316, than apply into the LCM equation.

GCF(5315,5316) = 1
LCM(5315,5316) = ( 5315 × 5316) / 1
LCM(5315,5316) = 28254540 / 1
LCM(5315,5316) = 28254540

Properties of LCM 5315 and 5316

(i) The LCM of 5316 and 5315 is associative

LCM of 5315 and 5316 = LCM of 5316 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5316

Frequently Asked Questions on LCM of 5315 and 5316

1. What is the LCM of 5315 and 5316?

Answer: LCM of 5315 and 5316 is 28254540.

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 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 5315 and 5316?

Answer:

Least Common Multiple of 5315 and 5316 = 28254540

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

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 = 28254540 = 2 x 2 x 3 x 5 x 443 x 1063

Step 4: Therefore, the least common multiple of 5315 and 5316 is 28254540.