Least Common Multiple of 6240 and 6248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6240 and 6248 the smallest integer that is 4873440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6240 and 6248 is 4873440.

LCM(6240,6248) = 4873440

LCM of 6240 and 6248

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

LCM of:
and

Least Common Multiple of 6240 and 6248

LCM of 6240 and 6248 is 4873440

Least common multiple can be found by multiplying the highest exponent prime factors of 6240 and 6248. First we will calculate the prime factors of 6240 and 6248.

Prime Factorization of 6240


2 6240
2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 6240 are 2, 3, 5,13. Prime factorization of 6240 in exponential form is:

6240 = 25×31×51×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6240 and 6248.

LCM(6240,6248) = 25×31×51×111×131×711
LCM(6240,6248) = 4873440

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240

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

Least Common Multiple of 6240 and 6248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6240 and 6248, than apply into the LCM equation.

GCF(6240,6248) = 8
LCM(6240,6248) = ( 6240 × 6248) / 8
LCM(6240,6248) = 38987520 / 8
LCM(6240,6248) = 4873440

Properties of LCM 6240 and 6248

(i) The LCM of 6248 and 6240 is associative

LCM of 6240 and 6248 = LCM of 6248 and 6240

Related Least Common Multiples of 6240

Related Least Common Multiples of 6248

Frequently Asked Questions on LCM of 6240 and 6248

1. What is the LCM of 6240 and 6248?

Answer: LCM of 6240 and 6248 is 4873440.

2. What are the Factors of 6240?

Answer: Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. There are 48 integers that are factors of 6240. The greatest factor of 6240 is 6240.

3. 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.

4. How to Find the LCM of 6240 and 6248?

Answer:

Least Common Multiple of 6240 and 6248 = 4873440

Step 1: Find the prime factorization of 6240

6240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13

Step 2: Find the prime factorization of 6248

6248 = 2 x 2 x 2 x 11 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 = 4873440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 6240 and 6248 is 4873440.