Least Common Multiple of 13455 and 13458

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 13458 the smallest integer that is 60359130 that is divisible by both numbers.

Least Common Multiple (LCM) of 13455 and 13458 is 60359130.

LCM(13455,13458) = 60359130

LCM of 13455 and 13458

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

LCM of:
and

Least Common Multiple of 13455 and 13458

LCM of 13455 and 13458 is 60359130

Least common multiple can be found by multiplying the highest exponent prime factors of 13455 and 13458. First we will calculate the prime factors of 13455 and 13458.

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 13458


2 13458
3 6729
2243 2243
1

Prime factors of 13458 are 2, 3,2243. Prime factorization of 13458 in exponential form is:

13458 = 21×31×22431

Now multiplying the highest exponent prime factors to calculate the LCM of 13455 and 13458.

LCM(13455,13458) = 21×32×51×131×231×22431
LCM(13455,13458) = 60359130

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 13458

List of positive integer factors of 13458 that divides 13458 without a remainder.

1, 2, 3, 6, 2243, 4486, 6729, 13458

Least Common Multiple of 13455 and 13458 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 13458, than apply into the LCM equation.

GCF(13455,13458) = 3
LCM(13455,13458) = ( 13455 × 13458) / 3
LCM(13455,13458) = 181077390 / 3
LCM(13455,13458) = 60359130

Properties of LCM 13455 and 13458

(i) The LCM of 13458 and 13455 is associative

LCM of 13455 and 13458 = LCM of 13458 and 13455

Related Least Common Multiples of 13455

Related Least Common Multiples of 13458

Frequently Asked Questions on LCM of 13455 and 13458

1. What is the LCM of 13455 and 13458?

Answer: LCM of 13455 and 13458 is 60359130.

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 13458?

Answer: Factors of 13458 are 1, 2, 3, 6, 2243, 4486, 6729, 13458. There are 8 integers that are factors of 13458. The greatest factor of 13458 is 13458.

4. How to Find the LCM of 13455 and 13458?

Answer:

Least Common Multiple of 13455 and 13458 = 60359130

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 13458

13458 = 2 x 3 x 2243

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

LCM = 60359130 = 2 x 3 x 3 x 5 x 13 x 23 x 2243

Step 4: Therefore, the least common multiple of 13455 and 13458 is 60359130.