Least Common Multiple of 5315 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 5315 and 5321 the smallest integer that is 28281115 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5321 is 28281115.

LCM(5315,5321) = 28281115

LCM of 5315 and 5321

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

LCM of:
and

Least Common Multiple of 5315 and 5321

LCM of 5315 and 5321 is 28281115

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5321. First we will calculate the prime factors of 5315 and 5321.

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 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 5315 and 5321.

LCM(5315,5321) = 51×171×3131×10631
LCM(5315,5321) = 28281115

Factors of 5315

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

1, 5, 1063, 5315

Factors of 5321

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

1, 17, 313, 5321

Least Common Multiple of 5315 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 5315 and 5321, than apply into the LCM equation.

GCF(5315,5321) = 1
LCM(5315,5321) = ( 5315 × 5321) / 1
LCM(5315,5321) = 28281115 / 1
LCM(5315,5321) = 28281115

Properties of LCM 5315 and 5321

(i) The LCM of 5321 and 5315 is associative

LCM of 5315 and 5321 = LCM of 5321 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5321

Frequently Asked Questions on LCM of 5315 and 5321

1. What is the LCM of 5315 and 5321?

Answer: LCM of 5315 and 5321 is 28281115.

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 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 5315 and 5321?

Answer:

Least Common Multiple of 5315 and 5321 = 28281115

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

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 = 28281115 = 5 x 17 x 313 x 1063

Step 4: Therefore, the least common multiple of 5315 and 5321 is 28281115.