Least Common Multiple of 5310 and 5318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5310 and 5318 the smallest integer that is 14119290 that is divisible by both numbers.

Least Common Multiple (LCM) of 5310 and 5318 is 14119290.

LCM(5310,5318) = 14119290

LCM of 5310 and 5318

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

LCM of:
and

Least Common Multiple of 5310 and 5318

LCM of 5310 and 5318 is 14119290

Least common multiple can be found by multiplying the highest exponent prime factors of 5310 and 5318. First we will calculate the prime factors of 5310 and 5318.

Prime Factorization of 5310


2 5310
3 2655
3 885
5 295
59 59
1

Prime factors of 5310 are 2, 3, 5,59. Prime factorization of 5310 in exponential form is:

5310 = 21×32×51×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5310 and 5318.

LCM(5310,5318) = 21×32×51×591×26591
LCM(5310,5318) = 14119290

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310

Factors of 5318

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

1, 2, 2659, 5318

Least Common Multiple of 5310 and 5318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5310 and 5318, than apply into the LCM equation.

GCF(5310,5318) = 2
LCM(5310,5318) = ( 5310 × 5318) / 2
LCM(5310,5318) = 28238580 / 2
LCM(5310,5318) = 14119290

Properties of LCM 5310 and 5318

(i) The LCM of 5318 and 5310 is associative

LCM of 5310 and 5318 = LCM of 5318 and 5310

Related Least Common Multiples of 5310

Related Least Common Multiples of 5318

Frequently Asked Questions on LCM of 5310 and 5318

1. What is the LCM of 5310 and 5318?

Answer: LCM of 5310 and 5318 is 14119290.

2. What are the Factors of 5310?

Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.

3. 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.

4. How to Find the LCM of 5310 and 5318?

Answer:

Least Common Multiple of 5310 and 5318 = 14119290

Step 1: Find the prime factorization of 5310

5310 = 2 x 3 x 3 x 5 x 59

Step 2: Find the prime factorization of 5318

5318 = 2 x 2659

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

LCM = 14119290 = 2 x 3 x 3 x 5 x 59 x 2659

Step 4: Therefore, the least common multiple of 5310 and 5318 is 14119290.