Least Common Multiple of 6248 and 6254

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 6254 the smallest integer that is 19537496 that is divisible by both numbers.

Least Common Multiple (LCM) of 6248 and 6254 is 19537496.

LCM(6248,6254) = 19537496

LCM of 6248 and 6254

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

LCM of:
and

Least Common Multiple of 6248 and 6254

LCM of 6248 and 6254 is 19537496

Least common multiple can be found by multiplying the highest exponent prime factors of 6248 and 6254. First we will calculate the prime factors of 6248 and 6254.

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 6254


2 6254
53 3127
59 59
1

Prime factors of 6254 are 2, 53,59. Prime factorization of 6254 in exponential form is:

6254 = 21×531×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6248 and 6254.

LCM(6248,6254) = 23×111×531×591×711
LCM(6248,6254) = 19537496

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 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1, 2, 53, 59, 106, 118, 3127, 6254

Least Common Multiple of 6248 and 6254 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 6254, than apply into the LCM equation.

GCF(6248,6254) = 2
LCM(6248,6254) = ( 6248 × 6254) / 2
LCM(6248,6254) = 39074992 / 2
LCM(6248,6254) = 19537496

Properties of LCM 6248 and 6254

(i) The LCM of 6254 and 6248 is associative

LCM of 6248 and 6254 = LCM of 6254 and 6248

Related Least Common Multiples of 6248

Related Least Common Multiples of 6254

Frequently Asked Questions on LCM of 6248 and 6254

1. What is the LCM of 6248 and 6254?

Answer: LCM of 6248 and 6254 is 19537496.

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 6254?

Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.

4. How to Find the LCM of 6248 and 6254?

Answer:

Least Common Multiple of 6248 and 6254 = 19537496

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 6254

6254 = 2 x 53 x 59

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

LCM = 19537496 = 2 x 2 x 2 x 11 x 53 x 59 x 71

Step 4: Therefore, the least common multiple of 6248 and 6254 is 19537496.