Least Common Multiple of 6248 and 6255

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 6255 the smallest integer that is 39081240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6248 and 6255 is 39081240.

LCM(6248,6255) = 39081240

LCM of 6248 and 6255

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

LCM of:
and

Least Common Multiple of 6248 and 6255

LCM of 6248 and 6255 is 39081240

Least common multiple can be found by multiplying the highest exponent prime factors of 6248 and 6255. First we will calculate the prime factors of 6248 and 6255.

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 6255


3 6255
3 2085
5 695
139 139
1

Prime factors of 6255 are 3, 5,139. Prime factorization of 6255 in exponential form is:

6255 = 32×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6248 and 6255.

LCM(6248,6255) = 23×32×51×111×711×1391
LCM(6248,6255) = 39081240

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 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255

Least Common Multiple of 6248 and 6255 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 6255, than apply into the LCM equation.

GCF(6248,6255) = 1
LCM(6248,6255) = ( 6248 × 6255) / 1
LCM(6248,6255) = 39081240 / 1
LCM(6248,6255) = 39081240

Properties of LCM 6248 and 6255

(i) The LCM of 6255 and 6248 is associative

LCM of 6248 and 6255 = LCM of 6255 and 6248

Related Least Common Multiples of 6248

Related Least Common Multiples of 6255

Frequently Asked Questions on LCM of 6248 and 6255

1. What is the LCM of 6248 and 6255?

Answer: LCM of 6248 and 6255 is 39081240.

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 6255?

Answer: Factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255. There are 12 integers that are factors of 6255. The greatest factor of 6255 is 6255.

4. How to Find the LCM of 6248 and 6255?

Answer:

Least Common Multiple of 6248 and 6255 = 39081240

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 6255

6255 = 3 x 3 x 5 x 139

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

LCM = 39081240 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 71 x 139

Step 4: Therefore, the least common multiple of 6248 and 6255 is 39081240.