Least Common Multiple of 15291 and 15297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15291 and 15297 the smallest integer that is 77968809 that is divisible by both numbers.

Least Common Multiple (LCM) of 15291 and 15297 is 77968809.

LCM(15291,15297) = 77968809

LCM of 15291 and 15297

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

LCM of:
and

Least Common Multiple of 15291 and 15297

LCM of 15291 and 15297 is 77968809

Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15297. First we will calculate the prime factors of 15291 and 15297.

Prime Factorization of 15291


3 15291
3 5097
1699 1699
1

Prime factors of 15291 are 3,1699. Prime factorization of 15291 in exponential form is:

15291 = 32×16991

Prime Factorization of 15297


3 15297
5099 5099
1

Prime factors of 15297 are 3,5099. Prime factorization of 15297 in exponential form is:

15297 = 31×50991

Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15297.

LCM(15291,15297) = 32×16991×50991
LCM(15291,15297) = 77968809

Factors of 15291

List of positive integer factors of 15291 that divides 15291 without a remainder.

1, 3, 9, 1699, 5097, 15291

Factors of 15297

List of positive integer factors of 15297 that divides 15297 without a remainder.

1, 3, 5099, 15297

Least Common Multiple of 15291 and 15297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15297, than apply into the LCM equation.

GCF(15291,15297) = 3
LCM(15291,15297) = ( 15291 × 15297) / 3
LCM(15291,15297) = 233906427 / 3
LCM(15291,15297) = 77968809

Properties of LCM 15291 and 15297

(i) The LCM of 15297 and 15291 is associative

LCM of 15291 and 15297 = LCM of 15297 and 15291

Related Least Common Multiples of 15291

Related Least Common Multiples of 15297

Frequently Asked Questions on LCM of 15291 and 15297

1. What is the LCM of 15291 and 15297?

Answer: LCM of 15291 and 15297 is 77968809.

2. What are the Factors of 15291?

Answer: Factors of 15291 are 1, 3, 9, 1699, 5097, 15291. There are 6 integers that are factors of 15291. The greatest factor of 15291 is 15291.

3. What are the Factors of 15297?

Answer: Factors of 15297 are 1, 3, 5099, 15297. There are 4 integers that are factors of 15297. The greatest factor of 15297 is 15297.

4. How to Find the LCM of 15291 and 15297?

Answer:

Least Common Multiple of 15291 and 15297 = 77968809

Step 1: Find the prime factorization of 15291

15291 = 3 x 3 x 1699

Step 2: Find the prime factorization of 15297

15297 = 3 x 5099

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

LCM = 77968809 = 3 x 3 x 1699 x 5099

Step 4: Therefore, the least common multiple of 15291 and 15297 is 77968809.