Least Common Multiple of 11310 and 11316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11310 and 11316 the smallest integer that is 21330660 that is divisible by both numbers.

Least Common Multiple (LCM) of 11310 and 11316 is 21330660.

LCM(11310,11316) = 21330660

LCM of 11310 and 11316

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

LCM of:
and

Least Common Multiple of 11310 and 11316

LCM of 11310 and 11316 is 21330660

Least common multiple can be found by multiplying the highest exponent prime factors of 11310 and 11316. First we will calculate the prime factors of 11310 and 11316.

Prime Factorization of 11310


2 11310
3 5655
5 1885
13 377
29 29
1

Prime factors of 11310 are 2, 3, 5, 13,29. Prime factorization of 11310 in exponential form is:

11310 = 21×31×51×131×291

Prime Factorization of 11316


2 11316
2 5658
3 2829
23 943
41 41
1

Prime factors of 11316 are 2, 3, 23,41. Prime factorization of 11316 in exponential form is:

11316 = 22×31×231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 11310 and 11316.

LCM(11310,11316) = 22×31×51×131×231×291×411
LCM(11310,11316) = 21330660

Factors of 11310

List of positive integer factors of 11310 that divides 11310 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310

Factors of 11316

List of positive integer factors of 11316 that divides 11316 without a remainder.

1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316

Least Common Multiple of 11310 and 11316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11310 and 11316, than apply into the LCM equation.

GCF(11310,11316) = 6
LCM(11310,11316) = ( 11310 × 11316) / 6
LCM(11310,11316) = 127983960 / 6
LCM(11310,11316) = 21330660

Properties of LCM 11310 and 11316

(i) The LCM of 11316 and 11310 is associative

LCM of 11310 and 11316 = LCM of 11316 and 11310

Related Least Common Multiples of 11310

Related Least Common Multiples of 11316

Frequently Asked Questions on LCM of 11310 and 11316

1. What is the LCM of 11310 and 11316?

Answer: LCM of 11310 and 11316 is 21330660.

2. What are the Factors of 11310?

Answer: Factors of 11310 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310. There are 32 integers that are factors of 11310. The greatest factor of 11310 is 11310.

3. What are the Factors of 11316?

Answer: Factors of 11316 are 1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316. There are 24 integers that are factors of 11316. The greatest factor of 11316 is 11316.

4. How to Find the LCM of 11310 and 11316?

Answer:

Least Common Multiple of 11310 and 11316 = 21330660

Step 1: Find the prime factorization of 11310

11310 = 2 x 3 x 5 x 13 x 29

Step 2: Find the prime factorization of 11316

11316 = 2 x 2 x 3 x 23 x 41

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

LCM = 21330660 = 2 x 2 x 3 x 5 x 13 x 23 x 29 x 41

Step 4: Therefore, the least common multiple of 11310 and 11316 is 21330660.