Least Common Multiple of 5318 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 5318 and 5322 the smallest integer that is 14151198 that is divisible by both numbers.

Least Common Multiple (LCM) of 5318 and 5322 is 14151198.

LCM(5318,5322) = 14151198

LCM of 5318 and 5322

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

LCM of:
and

Least Common Multiple of 5318 and 5322

LCM of 5318 and 5322 is 14151198

Least common multiple can be found by multiplying the highest exponent prime factors of 5318 and 5322. First we will calculate the prime factors of 5318 and 5322.

Prime Factorization of 5318


2 5318
2659 2659
1

Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:

5318 = 21×26591

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 5318 and 5322.

LCM(5318,5322) = 21×31×8871×26591
LCM(5318,5322) = 14151198

Factors of 5318

List of positive integer factors of 5318 that divides 5318 without a remainder.

1, 2, 2659, 5318

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 5318 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 5318 and 5322, than apply into the LCM equation.

GCF(5318,5322) = 2
LCM(5318,5322) = ( 5318 × 5322) / 2
LCM(5318,5322) = 28302396 / 2
LCM(5318,5322) = 14151198

Properties of LCM 5318 and 5322

(i) The LCM of 5322 and 5318 is associative

LCM of 5318 and 5322 = LCM of 5322 and 5318

Related Least Common Multiples of 5318

Related Least Common Multiples of 5322

Frequently Asked Questions on LCM of 5318 and 5322

1. What is the LCM of 5318 and 5322?

Answer: LCM of 5318 and 5322 is 14151198.

2. What are the Factors of 5318?

Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.

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 5318 and 5322?

Answer:

Least Common Multiple of 5318 and 5322 = 14151198

Step 1: Find the prime factorization of 5318

5318 = 2 x 2659

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 = 14151198 = 2 x 3 x 887 x 2659

Step 4: Therefore, the least common multiple of 5318 and 5322 is 14151198.