Least Common Multiple of 5315 and 5323

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 5323 the smallest integer that is 28291745 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5323 is 28291745.

LCM(5315,5323) = 28291745

LCM of 5315 and 5323

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

LCM of:
and

Least Common Multiple of 5315 and 5323

LCM of 5315 and 5323 is 28291745

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5323. First we will calculate the prime factors of 5315 and 5323.

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 5323


5323 5323
1

Prime factors of 5323 are 5323. Prime factorization of 5323 in exponential form is:

5323 = 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 5315 and 5323.

LCM(5315,5323) = 51×10631×53231
LCM(5315,5323) = 28291745

Factors of 5315

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

1, 5, 1063, 5315

Factors of 5323

List of positive integer factors of 5323 that divides 5323 without a remainder.

1, 5323

Least Common Multiple of 5315 and 5323 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 5323, than apply into the LCM equation.

GCF(5315,5323) = 1
LCM(5315,5323) = ( 5315 × 5323) / 1
LCM(5315,5323) = 28291745 / 1
LCM(5315,5323) = 28291745

Properties of LCM 5315 and 5323

(i) The LCM of 5323 and 5315 is associative

LCM of 5315 and 5323 = LCM of 5323 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5323

Frequently Asked Questions on LCM of 5315 and 5323

1. What is the LCM of 5315 and 5323?

Answer: LCM of 5315 and 5323 is 28291745.

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 5323?

Answer: Factors of 5323 are 1, 5323. There are 2 integers that are factors of 5323. The greatest factor of 5323 is 5323.

4. How to Find the LCM of 5315 and 5323?

Answer:

Least Common Multiple of 5315 and 5323 = 28291745

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

Step 2: Find the prime factorization of 5323

5323 = 5323

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

LCM = 28291745 = 5 x 1063 x 5323

Step 4: Therefore, the least common multiple of 5315 and 5323 is 28291745.