Least Common Multiple of 13313 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 13313 and 13318 the smallest integer that is 177302534 that is divisible by both numbers.

Least Common Multiple (LCM) of 13313 and 13318 is 177302534.

LCM(13313,13318) = 177302534

LCM of 13313 and 13318

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

LCM of:
and

Least Common Multiple of 13313 and 13318

LCM of 13313 and 13318 is 177302534

Least common multiple can be found by multiplying the highest exponent prime factors of 13313 and 13318. First we will calculate the prime factors of 13313 and 13318.

Prime Factorization of 13313


13313 13313
1

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

13313 = 133131

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 13313 and 13318.

LCM(13313,13318) = 21×66591×133131
LCM(13313,13318) = 177302534

Factors of 13313

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

1, 13313

Factors of 13318

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

1, 2, 6659, 13318

Least Common Multiple of 13313 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 13313 and 13318, than apply into the LCM equation.

GCF(13313,13318) = 1
LCM(13313,13318) = ( 13313 × 13318) / 1
LCM(13313,13318) = 177302534 / 1
LCM(13313,13318) = 177302534

Properties of LCM 13313 and 13318

(i) The LCM of 13318 and 13313 is associative

LCM of 13313 and 13318 = LCM of 13318 and 13313

Related Least Common Multiples of 13313

Related Least Common Multiples of 13318

Frequently Asked Questions on LCM of 13313 and 13318

1. What is the LCM of 13313 and 13318?

Answer: LCM of 13313 and 13318 is 177302534.

2. 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.

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 13313 and 13318?

Answer:

Least Common Multiple of 13313 and 13318 = 177302534

Step 1: Find the prime factorization of 13313

13313 = 13313

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 = 177302534 = 2 x 6659 x 13313

Step 4: Therefore, the least common multiple of 13313 and 13318 is 177302534.