Least Common Multiple of 15239 and 15243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15239 and 15243 the smallest integer that is 232288077 that is divisible by both numbers.

Least Common Multiple (LCM) of 15239 and 15243 is 232288077.

LCM(15239,15243) = 232288077

LCM of 15239 and 15243

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

LCM of:
and

Least Common Multiple of 15239 and 15243

LCM of 15239 and 15243 is 232288077

Least common multiple can be found by multiplying the highest exponent prime factors of 15239 and 15243. First we will calculate the prime factors of 15239 and 15243.

Prime Factorization of 15239


7 15239
7 2177
311 311
1

Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:

15239 = 72×3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15239 and 15243.

LCM(15239,15243) = 31×72×3111×50811
LCM(15239,15243) = 232288077

Factors of 15239

List of positive integer factors of 15239 that divides 15239 without a remainder.

1, 7, 49, 311, 2177, 15239

Factors of 15243

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

1, 3, 5081, 15243

Least Common Multiple of 15239 and 15243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15239 and 15243, than apply into the LCM equation.

GCF(15239,15243) = 1
LCM(15239,15243) = ( 15239 × 15243) / 1
LCM(15239,15243) = 232288077 / 1
LCM(15239,15243) = 232288077

Properties of LCM 15239 and 15243

(i) The LCM of 15243 and 15239 is associative

LCM of 15239 and 15243 = LCM of 15243 and 15239

Related Least Common Multiples of 15239

Related Least Common Multiples of 15243

Frequently Asked Questions on LCM of 15239 and 15243

1. What is the LCM of 15239 and 15243?

Answer: LCM of 15239 and 15243 is 232288077.

2. What are the Factors of 15239?

Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.

3. 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.

4. How to Find the LCM of 15239 and 15243?

Answer:

Least Common Multiple of 15239 and 15243 = 232288077

Step 1: Find the prime factorization of 15239

15239 = 7 x 7 x 311

Step 2: Find the prime factorization of 15243

15243 = 3 x 5081

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

LCM = 232288077 = 3 x 7 x 7 x 311 x 5081

Step 4: Therefore, the least common multiple of 15239 and 15243 is 232288077.