Least Common Multiple of 5239 and 5244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5239 and 5244 the smallest integer that is 27473316 that is divisible by both numbers.

Least Common Multiple (LCM) of 5239 and 5244 is 27473316.

LCM(5239,5244) = 27473316

LCM of 5239 and 5244

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

LCM of:
and

Least Common Multiple of 5239 and 5244

LCM of 5239 and 5244 is 27473316

Least common multiple can be found by multiplying the highest exponent prime factors of 5239 and 5244. First we will calculate the prime factors of 5239 and 5244.

Prime Factorization of 5239


13 5239
13 403
31 31
1

Prime factors of 5239 are 13,31. Prime factorization of 5239 in exponential form is:

5239 = 132×311

Prime Factorization of 5244


2 5244
2 2622
3 1311
19 437
23 23
1

Prime factors of 5244 are 2, 3, 19,23. Prime factorization of 5244 in exponential form is:

5244 = 22×31×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5239 and 5244.

LCM(5239,5244) = 22×31×132×191×231×311
LCM(5239,5244) = 27473316

Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1, 13, 31, 169, 403, 5239

Factors of 5244

List of positive integer factors of 5244 that divides 5244 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244

Least Common Multiple of 5239 and 5244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5239 and 5244, than apply into the LCM equation.

GCF(5239,5244) = 1
LCM(5239,5244) = ( 5239 × 5244) / 1
LCM(5239,5244) = 27473316 / 1
LCM(5239,5244) = 27473316

Properties of LCM 5239 and 5244

(i) The LCM of 5244 and 5239 is associative

LCM of 5239 and 5244 = LCM of 5244 and 5239

Related Least Common Multiples of 5239

Related Least Common Multiples of 5244

Frequently Asked Questions on LCM of 5239 and 5244

1. What is the LCM of 5239 and 5244?

Answer: LCM of 5239 and 5244 is 27473316.

2. What are the Factors of 5239?

Answer: Factors of 5239 are 1, 13, 31, 169, 403, 5239. There are 6 integers that are factors of 5239. The greatest factor of 5239 is 5239.

3. What are the Factors of 5244?

Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.

4. How to Find the LCM of 5239 and 5244?

Answer:

Least Common Multiple of 5239 and 5244 = 27473316

Step 1: Find the prime factorization of 5239

5239 = 13 x 13 x 31

Step 2: Find the prime factorization of 5244

5244 = 2 x 2 x 3 x 19 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 = 27473316 = 2 x 2 x 3 x 13 x 13 x 19 x 23 x 31

Step 4: Therefore, the least common multiple of 5239 and 5244 is 27473316.