Least Common Multiple of 6240 and 6247

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 6247 the smallest integer that is 38981280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6240 and 6247 is 38981280.

LCM(6240,6247) = 38981280

LCM of 6240 and 6247

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

LCM of:
and

Least Common Multiple of 6240 and 6247

LCM of 6240 and 6247 is 38981280

Least common multiple can be found by multiplying the highest exponent prime factors of 6240 and 6247. First we will calculate the prime factors of 6240 and 6247.

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 6247


6247 6247
1

Prime factors of 6247 are 6247. Prime factorization of 6247 in exponential form is:

6247 = 62471

Now multiplying the highest exponent prime factors to calculate the LCM of 6240 and 6247.

LCM(6240,6247) = 25×31×51×131×62471
LCM(6240,6247) = 38981280

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 6247

List of positive integer factors of 6247 that divides 6247 without a remainder.

1, 6247

Least Common Multiple of 6240 and 6247 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 6247, than apply into the LCM equation.

GCF(6240,6247) = 1
LCM(6240,6247) = ( 6240 × 6247) / 1
LCM(6240,6247) = 38981280 / 1
LCM(6240,6247) = 38981280

Properties of LCM 6240 and 6247

(i) The LCM of 6247 and 6240 is associative

LCM of 6240 and 6247 = LCM of 6247 and 6240

Related Least Common Multiples of 6240

Related Least Common Multiples of 6247

Frequently Asked Questions on LCM of 6240 and 6247

1. What is the LCM of 6240 and 6247?

Answer: LCM of 6240 and 6247 is 38981280.

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 6247?

Answer: Factors of 6247 are 1, 6247. There are 2 integers that are factors of 6247. The greatest factor of 6247 is 6247.

4. How to Find the LCM of 6240 and 6247?

Answer:

Least Common Multiple of 6240 and 6247 = 38981280

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 6247

6247 = 6247

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

LCM = 38981280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 6247

Step 4: Therefore, the least common multiple of 6240 and 6247 is 38981280.