Least Common Multiple of 5244 and 5249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5244 and 5249 the smallest integer that is 27525756 that is divisible by both numbers.

Least Common Multiple (LCM) of 5244 and 5249 is 27525756.

LCM(5244,5249) = 27525756

LCM of 5244 and 5249

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

LCM of:
and

Least Common Multiple of 5244 and 5249

LCM of 5244 and 5249 is 27525756

Least common multiple can be found by multiplying the highest exponent prime factors of 5244 and 5249. First we will calculate the prime factors of 5244 and 5249.

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

Prime Factorization of 5249


29 5249
181 181
1

Prime factors of 5249 are 29,181. Prime factorization of 5249 in exponential form is:

5249 = 291×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5244 and 5249.

LCM(5244,5249) = 22×31×191×231×291×1811
LCM(5244,5249) = 27525756

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

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1, 29, 181, 5249

Least Common Multiple of 5244 and 5249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5244 and 5249, than apply into the LCM equation.

GCF(5244,5249) = 1
LCM(5244,5249) = ( 5244 × 5249) / 1
LCM(5244,5249) = 27525756 / 1
LCM(5244,5249) = 27525756

Properties of LCM 5244 and 5249

(i) The LCM of 5249 and 5244 is associative

LCM of 5244 and 5249 = LCM of 5249 and 5244

Related Least Common Multiples of 5244

Related Least Common Multiples of 5249

Frequently Asked Questions on LCM of 5244 and 5249

1. What is the LCM of 5244 and 5249?

Answer: LCM of 5244 and 5249 is 27525756.

2. 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.

3. What are the Factors of 5249?

Answer: Factors of 5249 are 1, 29, 181, 5249. There are 4 integers that are factors of 5249. The greatest factor of 5249 is 5249.

4. How to Find the LCM of 5244 and 5249?

Answer:

Least Common Multiple of 5244 and 5249 = 27525756

Step 1: Find the prime factorization of 5244

5244 = 2 x 2 x 3 x 19 x 23

Step 2: Find the prime factorization of 5249

5249 = 29 x 181

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

LCM = 27525756 = 2 x 2 x 3 x 19 x 23 x 29 x 181

Step 4: Therefore, the least common multiple of 5244 and 5249 is 27525756.