Least Common Multiple of 6248 and 6253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6248 and 6253 the smallest integer that is 39068744 that is divisible by both numbers.

Least Common Multiple (LCM) of 6248 and 6253 is 39068744.

LCM(6248,6253) = 39068744

LCM of 6248 and 6253

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

LCM of:
and

Least Common Multiple of 6248 and 6253

LCM of 6248 and 6253 is 39068744

Least common multiple can be found by multiplying the highest exponent prime factors of 6248 and 6253. First we will calculate the prime factors of 6248 and 6253.

Prime Factorization of 6248


2 6248
2 3124
2 1562
11 781
71 71
1

Prime factors of 6248 are 2, 11,71. Prime factorization of 6248 in exponential form is:

6248 = 23×111×711

Prime Factorization of 6253


13 6253
13 481
37 37
1

Prime factors of 6253 are 13,37. Prime factorization of 6253 in exponential form is:

6253 = 132×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6248 and 6253.

LCM(6248,6253) = 23×111×132×371×711
LCM(6248,6253) = 39068744

Factors of 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248

Factors of 6253

List of positive integer factors of 6253 that divides 6253 without a remainder.

1, 13, 37, 169, 481, 6253

Least Common Multiple of 6248 and 6253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6248 and 6253, than apply into the LCM equation.

GCF(6248,6253) = 1
LCM(6248,6253) = ( 6248 × 6253) / 1
LCM(6248,6253) = 39068744 / 1
LCM(6248,6253) = 39068744

Properties of LCM 6248 and 6253

(i) The LCM of 6253 and 6248 is associative

LCM of 6248 and 6253 = LCM of 6253 and 6248

Related Least Common Multiples of 6248

Related Least Common Multiples of 6253

Frequently Asked Questions on LCM of 6248 and 6253

1. What is the LCM of 6248 and 6253?

Answer: LCM of 6248 and 6253 is 39068744.

2. What are the Factors of 6248?

Answer: Factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248. There are 16 integers that are factors of 6248. The greatest factor of 6248 is 6248.

3. What are the Factors of 6253?

Answer: Factors of 6253 are 1, 13, 37, 169, 481, 6253. There are 6 integers that are factors of 6253. The greatest factor of 6253 is 6253.

4. How to Find the LCM of 6248 and 6253?

Answer:

Least Common Multiple of 6248 and 6253 = 39068744

Step 1: Find the prime factorization of 6248

6248 = 2 x 2 x 2 x 11 x 71

Step 2: Find the prime factorization of 6253

6253 = 13 x 13 x 37

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

LCM = 39068744 = 2 x 2 x 2 x 11 x 13 x 13 x 37 x 71

Step 4: Therefore, the least common multiple of 6248 and 6253 is 39068744.