Least Common Multiple of 13449 and 13455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13449 and 13455 the smallest integer that is 60318765 that is divisible by both numbers.

Least Common Multiple (LCM) of 13449 and 13455 is 60318765.

LCM(13449,13455) = 60318765

LCM of 13449 and 13455

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

LCM of:
and

Least Common Multiple of 13449 and 13455

LCM of 13449 and 13455 is 60318765

Least common multiple can be found by multiplying the highest exponent prime factors of 13449 and 13455. First we will calculate the prime factors of 13449 and 13455.

Prime Factorization of 13449


3 13449
4483 4483
1

Prime factors of 13449 are 3,4483. Prime factorization of 13449 in exponential form is:

13449 = 31×44831

Prime Factorization of 13455


3 13455
3 4485
5 1495
13 299
23 23
1

Prime factors of 13455 are 3, 5, 13,23. Prime factorization of 13455 in exponential form is:

13455 = 32×51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 13449 and 13455.

LCM(13449,13455) = 32×51×131×231×44831
LCM(13449,13455) = 60318765

Factors of 13449

List of positive integer factors of 13449 that divides 13449 without a remainder.

1, 3, 4483, 13449

Factors of 13455

List of positive integer factors of 13455 that divides 13455 without a remainder.

1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455

Least Common Multiple of 13449 and 13455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13449 and 13455, than apply into the LCM equation.

GCF(13449,13455) = 3
LCM(13449,13455) = ( 13449 × 13455) / 3
LCM(13449,13455) = 180956295 / 3
LCM(13449,13455) = 60318765

Properties of LCM 13449 and 13455

(i) The LCM of 13455 and 13449 is associative

LCM of 13449 and 13455 = LCM of 13455 and 13449

Related Least Common Multiples of 13449

Related Least Common Multiples of 13455

Frequently Asked Questions on LCM of 13449 and 13455

1. What is the LCM of 13449 and 13455?

Answer: LCM of 13449 and 13455 is 60318765.

2. What are the Factors of 13449?

Answer: Factors of 13449 are 1, 3, 4483, 13449. There are 4 integers that are factors of 13449. The greatest factor of 13449 is 13449.

3. What are the Factors of 13455?

Answer: Factors of 13455 are 1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455. There are 24 integers that are factors of 13455. The greatest factor of 13455 is 13455.

4. How to Find the LCM of 13449 and 13455?

Answer:

Least Common Multiple of 13449 and 13455 = 60318765

Step 1: Find the prime factorization of 13449

13449 = 3 x 4483

Step 2: Find the prime factorization of 13455

13455 = 3 x 3 x 5 x 13 x 23

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

LCM = 60318765 = 3 x 3 x 5 x 13 x 23 x 4483

Step 4: Therefore, the least common multiple of 13449 and 13455 is 60318765.