Least Common Multiple of 5245 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 5245 and 5249 the smallest integer that is 27531005 that is divisible by both numbers.

Least Common Multiple (LCM) of 5245 and 5249 is 27531005.

LCM(5245,5249) = 27531005

LCM of 5245 and 5249

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

LCM of:
and

Least Common Multiple of 5245 and 5249

LCM of 5245 and 5249 is 27531005

Least common multiple can be found by multiplying the highest exponent prime factors of 5245 and 5249. First we will calculate the prime factors of 5245 and 5249.

Prime Factorization of 5245


5 5245
1049 1049
1

Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:

5245 = 51×10491

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 5245 and 5249.

LCM(5245,5249) = 51×291×1811×10491
LCM(5245,5249) = 27531005

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1, 5, 1049, 5245

Factors of 5249

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

1, 29, 181, 5249

Least Common Multiple of 5245 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 5245 and 5249, than apply into the LCM equation.

GCF(5245,5249) = 1
LCM(5245,5249) = ( 5245 × 5249) / 1
LCM(5245,5249) = 27531005 / 1
LCM(5245,5249) = 27531005

Properties of LCM 5245 and 5249

(i) The LCM of 5249 and 5245 is associative

LCM of 5245 and 5249 = LCM of 5249 and 5245

Related Least Common Multiples of 5245

Related Least Common Multiples of 5249

Frequently Asked Questions on LCM of 5245 and 5249

1. What is the LCM of 5245 and 5249?

Answer: LCM of 5245 and 5249 is 27531005.

2. What are the Factors of 5245?

Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.

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 5245 and 5249?

Answer:

Least Common Multiple of 5245 and 5249 = 27531005

Step 1: Find the prime factorization of 5245

5245 = 5 x 1049

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 = 27531005 = 5 x 29 x 181 x 1049

Step 4: Therefore, the least common multiple of 5245 and 5249 is 27531005.