Least Common Multiple of 13455 and 13460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13455 and 13460 the smallest integer that is 36220860 that is divisible by both numbers.

Least Common Multiple (LCM) of 13455 and 13460 is 36220860.

LCM(13455,13460) = 36220860

LCM of 13455 and 13460

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

LCM of:
and

Least Common Multiple of 13455 and 13460

LCM of 13455 and 13460 is 36220860

Least common multiple can be found by multiplying the highest exponent prime factors of 13455 and 13460. First we will calculate the prime factors of 13455 and 13460.

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

Prime Factorization of 13460


2 13460
2 6730
5 3365
673 673
1

Prime factors of 13460 are 2, 5,673. Prime factorization of 13460 in exponential form is:

13460 = 22×51×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 13455 and 13460.

LCM(13455,13460) = 22×32×51×131×231×6731
LCM(13455,13460) = 36220860

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

Factors of 13460

List of positive integer factors of 13460 that divides 13460 without a remainder.

1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460

Least Common Multiple of 13455 and 13460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13455 and 13460, than apply into the LCM equation.

GCF(13455,13460) = 5
LCM(13455,13460) = ( 13455 × 13460) / 5
LCM(13455,13460) = 181104300 / 5
LCM(13455,13460) = 36220860

Properties of LCM 13455 and 13460

(i) The LCM of 13460 and 13455 is associative

LCM of 13455 and 13460 = LCM of 13460 and 13455

Related Least Common Multiples of 13455

Related Least Common Multiples of 13460

Frequently Asked Questions on LCM of 13455 and 13460

1. What is the LCM of 13455 and 13460?

Answer: LCM of 13455 and 13460 is 36220860.

2. 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.

3. What are the Factors of 13460?

Answer: Factors of 13460 are 1, 2, 4, 5, 10, 20, 673, 1346, 2692, 3365, 6730, 13460. There are 12 integers that are factors of 13460. The greatest factor of 13460 is 13460.

4. How to Find the LCM of 13455 and 13460?

Answer:

Least Common Multiple of 13455 and 13460 = 36220860

Step 1: Find the prime factorization of 13455

13455 = 3 x 3 x 5 x 13 x 23

Step 2: Find the prime factorization of 13460

13460 = 2 x 2 x 5 x 673

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

LCM = 36220860 = 2 x 2 x 3 x 3 x 5 x 13 x 23 x 673

Step 4: Therefore, the least common multiple of 13455 and 13460 is 36220860.