Least Common Multiple of 5248 and 5254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5248 and 5254 the smallest integer that is 13786496 that is divisible by both numbers.

Least Common Multiple (LCM) of 5248 and 5254 is 13786496.

LCM(5248,5254) = 13786496

LCM of 5248 and 5254

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

LCM of:
and

Least Common Multiple of 5248 and 5254

LCM of 5248 and 5254 is 13786496

Least common multiple can be found by multiplying the highest exponent prime factors of 5248 and 5254. First we will calculate the prime factors of 5248 and 5254.

Prime Factorization of 5248


2 5248
2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 5248 are 2,41. Prime factorization of 5248 in exponential form is:

5248 = 27×411

Prime Factorization of 5254


2 5254
37 2627
71 71
1

Prime factors of 5254 are 2, 37,71. Prime factorization of 5254 in exponential form is:

5254 = 21×371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 5248 and 5254.

LCM(5248,5254) = 27×371×411×711
LCM(5248,5254) = 13786496

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1, 2, 37, 71, 74, 142, 2627, 5254

Least Common Multiple of 5248 and 5254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5248 and 5254, than apply into the LCM equation.

GCF(5248,5254) = 2
LCM(5248,5254) = ( 5248 × 5254) / 2
LCM(5248,5254) = 27572992 / 2
LCM(5248,5254) = 13786496

Properties of LCM 5248 and 5254

(i) The LCM of 5254 and 5248 is associative

LCM of 5248 and 5254 = LCM of 5254 and 5248

Related Least Common Multiples of 5248

Related Least Common Multiples of 5254

Frequently Asked Questions on LCM of 5248 and 5254

1. What is the LCM of 5248 and 5254?

Answer: LCM of 5248 and 5254 is 13786496.

2. What are the Factors of 5248?

Answer: Factors of 5248 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 328, 656, 1312, 2624, 5248. There are 16 integers that are factors of 5248. The greatest factor of 5248 is 5248.

3. What are the Factors of 5254?

Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.

4. How to Find the LCM of 5248 and 5254?

Answer:

Least Common Multiple of 5248 and 5254 = 13786496

Step 1: Find the prime factorization of 5248

5248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 5254

5254 = 2 x 37 x 71

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

LCM = 13786496 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37 x 41 x 71

Step 4: Therefore, the least common multiple of 5248 and 5254 is 13786496.