Least Common Multiple of 15239 and 15244

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 15244 the smallest integer that is 232303316 that is divisible by both numbers.

Least Common Multiple (LCM) of 15239 and 15244 is 232303316.

LCM(15239,15244) = 232303316

LCM of 15239 and 15244

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

LCM of:
and

Least Common Multiple of 15239 and 15244

LCM of 15239 and 15244 is 232303316

Least common multiple can be found by multiplying the highest exponent prime factors of 15239 and 15244. First we will calculate the prime factors of 15239 and 15244.

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 15244


2 15244
2 7622
37 3811
103 103
1

Prime factors of 15244 are 2, 37,103. Prime factorization of 15244 in exponential form is:

15244 = 22×371×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 15239 and 15244.

LCM(15239,15244) = 22×72×371×1031×3111
LCM(15239,15244) = 232303316

Factors of 15239

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

1, 7, 49, 311, 2177, 15239

Factors of 15244

List of positive integer factors of 15244 that divides 15244 without a remainder.

1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244

Least Common Multiple of 15239 and 15244 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 15244, than apply into the LCM equation.

GCF(15239,15244) = 1
LCM(15239,15244) = ( 15239 × 15244) / 1
LCM(15239,15244) = 232303316 / 1
LCM(15239,15244) = 232303316

Properties of LCM 15239 and 15244

(i) The LCM of 15244 and 15239 is associative

LCM of 15239 and 15244 = LCM of 15244 and 15239

Related Least Common Multiples of 15239

Related Least Common Multiples of 15244

Frequently Asked Questions on LCM of 15239 and 15244

1. What is the LCM of 15239 and 15244?

Answer: LCM of 15239 and 15244 is 232303316.

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 15244?

Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.

4. How to Find the LCM of 15239 and 15244?

Answer:

Least Common Multiple of 15239 and 15244 = 232303316

Step 1: Find the prime factorization of 15239

15239 = 7 x 7 x 311

Step 2: Find the prime factorization of 15244

15244 = 2 x 2 x 37 x 103

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

LCM = 232303316 = 2 x 2 x 7 x 7 x 37 x 103 x 311

Step 4: Therefore, the least common multiple of 15239 and 15244 is 232303316.