Least Common Multiple of 15243 and 15249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15243 and 15249 the smallest integer that is 77480169 that is divisible by both numbers.

Least Common Multiple (LCM) of 15243 and 15249 is 77480169.

LCM(15243,15249) = 77480169

LCM of 15243 and 15249

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

LCM of:
and

Least Common Multiple of 15243 and 15249

LCM of 15243 and 15249 is 77480169

Least common multiple can be found by multiplying the highest exponent prime factors of 15243 and 15249. First we will calculate the prime factors of 15243 and 15249.

Prime Factorization of 15243


3 15243
5081 5081
1

Prime factors of 15243 are 3,5081. Prime factorization of 15243 in exponential form is:

15243 = 31×50811

Prime Factorization of 15249


3 15249
13 5083
17 391
23 23
1

Prime factors of 15249 are 3, 13, 17,23. Prime factorization of 15249 in exponential form is:

15249 = 31×131×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 15243 and 15249.

LCM(15243,15249) = 31×131×171×231×50811
LCM(15243,15249) = 77480169

Factors of 15243

List of positive integer factors of 15243 that divides 15243 without a remainder.

1, 3, 5081, 15243

Factors of 15249

List of positive integer factors of 15249 that divides 15249 without a remainder.

1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249

Least Common Multiple of 15243 and 15249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15243 and 15249, than apply into the LCM equation.

GCF(15243,15249) = 3
LCM(15243,15249) = ( 15243 × 15249) / 3
LCM(15243,15249) = 232440507 / 3
LCM(15243,15249) = 77480169

Properties of LCM 15243 and 15249

(i) The LCM of 15249 and 15243 is associative

LCM of 15243 and 15249 = LCM of 15249 and 15243

Related Least Common Multiples of 15243

Related Least Common Multiples of 15249

Frequently Asked Questions on LCM of 15243 and 15249

1. What is the LCM of 15243 and 15249?

Answer: LCM of 15243 and 15249 is 77480169.

2. What are the Factors of 15243?

Answer: Factors of 15243 are 1, 3, 5081, 15243. There are 4 integers that are factors of 15243. The greatest factor of 15243 is 15243.

3. What are the Factors of 15249?

Answer: Factors of 15249 are 1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249. There are 16 integers that are factors of 15249. The greatest factor of 15249 is 15249.

4. How to Find the LCM of 15243 and 15249?

Answer:

Least Common Multiple of 15243 and 15249 = 77480169

Step 1: Find the prime factorization of 15243

15243 = 3 x 5081

Step 2: Find the prime factorization of 15249

15249 = 3 x 13 x 17 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 = 77480169 = 3 x 13 x 17 x 23 x 5081

Step 4: Therefore, the least common multiple of 15243 and 15249 is 77480169.