Least Common Multiple of 13310 and 13313

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 13313 the smallest integer that is 177196030 that is divisible by both numbers.

Least Common Multiple (LCM) of 13310 and 13313 is 177196030.

LCM(13310,13313) = 177196030

LCM of 13310 and 13313

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

LCM of:
and

Least Common Multiple of 13310 and 13313

LCM of 13310 and 13313 is 177196030

Least common multiple can be found by multiplying the highest exponent prime factors of 13310 and 13313. First we will calculate the prime factors of 13310 and 13313.

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 13313


13313 13313
1

Prime factors of 13313 are 13313. Prime factorization of 13313 in exponential form is:

13313 = 133131

Now multiplying the highest exponent prime factors to calculate the LCM of 13310 and 13313.

LCM(13310,13313) = 21×51×113×133131
LCM(13310,13313) = 177196030

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 13313

List of positive integer factors of 13313 that divides 13313 without a remainder.

1, 13313

Least Common Multiple of 13310 and 13313 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 13313, than apply into the LCM equation.

GCF(13310,13313) = 1
LCM(13310,13313) = ( 13310 × 13313) / 1
LCM(13310,13313) = 177196030 / 1
LCM(13310,13313) = 177196030

Properties of LCM 13310 and 13313

(i) The LCM of 13313 and 13310 is associative

LCM of 13310 and 13313 = LCM of 13313 and 13310

Related Least Common Multiples of 13310

Related Least Common Multiples of 13313

Frequently Asked Questions on LCM of 13310 and 13313

1. What is the LCM of 13310 and 13313?

Answer: LCM of 13310 and 13313 is 177196030.

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 13313?

Answer: Factors of 13313 are 1, 13313. There are 2 integers that are factors of 13313. The greatest factor of 13313 is 13313.

4. How to Find the LCM of 13310 and 13313?

Answer:

Least Common Multiple of 13310 and 13313 = 177196030

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 13313

13313 = 13313

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

LCM = 177196030 = 2 x 5 x 11 x 11 x 11 x 13313

Step 4: Therefore, the least common multiple of 13310 and 13313 is 177196030.