Least Common Multiple of 5315 and 5322

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 5322 the smallest integer that is 28286430 that is divisible by both numbers.

Least Common Multiple (LCM) of 5315 and 5322 is 28286430.

LCM(5315,5322) = 28286430

LCM of 5315 and 5322

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

LCM of:
and

Least Common Multiple of 5315 and 5322

LCM of 5315 and 5322 is 28286430

Least common multiple can be found by multiplying the highest exponent prime factors of 5315 and 5322. First we will calculate the prime factors of 5315 and 5322.

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 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 5315 and 5322.

LCM(5315,5322) = 21×31×51×8871×10631
LCM(5315,5322) = 28286430

Factors of 5315

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

1, 5, 1063, 5315

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1, 2, 3, 6, 887, 1774, 2661, 5322

Least Common Multiple of 5315 and 5322 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 5322, than apply into the LCM equation.

GCF(5315,5322) = 1
LCM(5315,5322) = ( 5315 × 5322) / 1
LCM(5315,5322) = 28286430 / 1
LCM(5315,5322) = 28286430

Properties of LCM 5315 and 5322

(i) The LCM of 5322 and 5315 is associative

LCM of 5315 and 5322 = LCM of 5322 and 5315

Related Least Common Multiples of 5315

Related Least Common Multiples of 5322

Frequently Asked Questions on LCM of 5315 and 5322

1. What is the LCM of 5315 and 5322?

Answer: LCM of 5315 and 5322 is 28286430.

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 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

4. How to Find the LCM of 5315 and 5322?

Answer:

Least Common Multiple of 5315 and 5322 = 28286430

Step 1: Find the prime factorization of 5315

5315 = 5 x 1063

Step 2: Find the prime factorization of 5322

5322 = 2 x 3 x 887

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

LCM = 28286430 = 2 x 3 x 5 x 887 x 1063

Step 4: Therefore, the least common multiple of 5315 and 5322 is 28286430.