Least Common Multiple of 13310 and 13318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13310 and 13318 the smallest integer that is 88631290 that is divisible by both numbers.

Least Common Multiple (LCM) of 13310 and 13318 is 88631290.

LCM(13310,13318) = 88631290

LCM of 13310 and 13318

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

LCM of:
and

Least Common Multiple of 13310 and 13318

LCM of 13310 and 13318 is 88631290

Least common multiple can be found by multiplying the highest exponent prime factors of 13310 and 13318. First we will calculate the prime factors of 13310 and 13318.

Prime Factorization of 13310


2 13310
5 6655
11 1331
11 121
11 11
1

Prime factors of 13310 are 2, 5,11. Prime factorization of 13310 in exponential form is:

13310 = 21×51×113

Prime Factorization of 13318


2 13318
6659 6659
1

Prime factors of 13318 are 2,6659. Prime factorization of 13318 in exponential form is:

13318 = 21×66591

Now multiplying the highest exponent prime factors to calculate the LCM of 13310 and 13318.

LCM(13310,13318) = 21×51×113×66591
LCM(13310,13318) = 88631290

Factors of 13310

List of positive integer factors of 13310 that divides 13310 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655, 13310

Factors of 13318

List of positive integer factors of 13318 that divides 13318 without a remainder.

1, 2, 6659, 13318

Least Common Multiple of 13310 and 13318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13310 and 13318, than apply into the LCM equation.

GCF(13310,13318) = 2
LCM(13310,13318) = ( 13310 × 13318) / 2
LCM(13310,13318) = 177262580 / 2
LCM(13310,13318) = 88631290

Properties of LCM 13310 and 13318

(i) The LCM of 13318 and 13310 is associative

LCM of 13310 and 13318 = LCM of 13318 and 13310

Related Least Common Multiples of 13310

Related Least Common Multiples of 13318

Frequently Asked Questions on LCM of 13310 and 13318

1. What is the LCM of 13310 and 13318?

Answer: LCM of 13310 and 13318 is 88631290.

2. What are the Factors of 13310?

Answer: Factors of 13310 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655, 13310. There are 16 integers that are factors of 13310. The greatest factor of 13310 is 13310.

3. What are the Factors of 13318?

Answer: Factors of 13318 are 1, 2, 6659, 13318. There are 4 integers that are factors of 13318. The greatest factor of 13318 is 13318.

4. How to Find the LCM of 13310 and 13318?

Answer:

Least Common Multiple of 13310 and 13318 = 88631290

Step 1: Find the prime factorization of 13310

13310 = 2 x 5 x 11 x 11 x 11

Step 2: Find the prime factorization of 13318

13318 = 2 x 6659

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

LCM = 88631290 = 2 x 5 x 11 x 11 x 11 x 6659

Step 4: Therefore, the least common multiple of 13310 and 13318 is 88631290.