Least Common Multiple of 13071 and 13075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13071 and 13075 the smallest integer that is 170903325 that is divisible by both numbers.

Least Common Multiple (LCM) of 13071 and 13075 is 170903325.

LCM(13071,13075) = 170903325

LCM of 13071 and 13075

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

LCM of:
and

Least Common Multiple of 13071 and 13075

LCM of 13071 and 13075 is 170903325

Least common multiple can be found by multiplying the highest exponent prime factors of 13071 and 13075. First we will calculate the prime factors of 13071 and 13075.

Prime Factorization of 13071


3 13071
4357 4357
1

Prime factors of 13071 are 3,4357. Prime factorization of 13071 in exponential form is:

13071 = 31×43571

Prime Factorization of 13075


5 13075
5 2615
523 523
1

Prime factors of 13075 are 5,523. Prime factorization of 13075 in exponential form is:

13075 = 52×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 13071 and 13075.

LCM(13071,13075) = 31×52×5231×43571
LCM(13071,13075) = 170903325

Factors of 13071

List of positive integer factors of 13071 that divides 13071 without a remainder.

1, 3, 4357, 13071

Factors of 13075

List of positive integer factors of 13075 that divides 13075 without a remainder.

1, 5, 25, 523, 2615, 13075

Least Common Multiple of 13071 and 13075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13071 and 13075, than apply into the LCM equation.

GCF(13071,13075) = 1
LCM(13071,13075) = ( 13071 × 13075) / 1
LCM(13071,13075) = 170903325 / 1
LCM(13071,13075) = 170903325

Properties of LCM 13071 and 13075

(i) The LCM of 13075 and 13071 is associative

LCM of 13071 and 13075 = LCM of 13075 and 13071

Related Least Common Multiples of 13071

Related Least Common Multiples of 13075

Frequently Asked Questions on LCM of 13071 and 13075

1. What is the LCM of 13071 and 13075?

Answer: LCM of 13071 and 13075 is 170903325.

2. What are the Factors of 13071?

Answer: Factors of 13071 are 1, 3, 4357, 13071. There are 4 integers that are factors of 13071. The greatest factor of 13071 is 13071.

3. What are the Factors of 13075?

Answer: Factors of 13075 are 1, 5, 25, 523, 2615, 13075. There are 6 integers that are factors of 13075. The greatest factor of 13075 is 13075.

4. How to Find the LCM of 13071 and 13075?

Answer:

Least Common Multiple of 13071 and 13075 = 170903325

Step 1: Find the prime factorization of 13071

13071 = 3 x 4357

Step 2: Find the prime factorization of 13075

13075 = 5 x 5 x 523

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

LCM = 170903325 = 3 x 5 x 5 x 523 x 4357

Step 4: Therefore, the least common multiple of 13071 and 13075 is 170903325.