Least Common Multiple of 6240 and 6241

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 6241 the smallest integer that is 38943840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6240 and 6241 is 38943840.

LCM(6240,6241) = 38943840

LCM of 6240 and 6241

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

LCM of:
and

Least Common Multiple of 6240 and 6241

LCM of 6240 and 6241 is 38943840

Least common multiple can be found by multiplying the highest exponent prime factors of 6240 and 6241. First we will calculate the prime factors of 6240 and 6241.

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 6241


79 6241
79 79
1

Prime factors of 6241 are 79. Prime factorization of 6241 in exponential form is:

6241 = 792

Now multiplying the highest exponent prime factors to calculate the LCM of 6240 and 6241.

LCM(6240,6241) = 25×31×51×131×792
LCM(6240,6241) = 38943840

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 6241

List of positive integer factors of 6241 that divides 6241 without a remainder.

1, 79, 6241

Least Common Multiple of 6240 and 6241 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 6241, than apply into the LCM equation.

GCF(6240,6241) = 1
LCM(6240,6241) = ( 6240 × 6241) / 1
LCM(6240,6241) = 38943840 / 1
LCM(6240,6241) = 38943840

Properties of LCM 6240 and 6241

(i) The LCM of 6241 and 6240 is associative

LCM of 6240 and 6241 = LCM of 6241 and 6240

Related Least Common Multiples of 6240

Related Least Common Multiples of 6241

Frequently Asked Questions on LCM of 6240 and 6241

1. What is the LCM of 6240 and 6241?

Answer: LCM of 6240 and 6241 is 38943840.

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 6241?

Answer: Factors of 6241 are 1, 79, 6241. There are 3 integers that are factors of 6241. The greatest factor of 6241 is 6241.

4. How to Find the LCM of 6240 and 6241?

Answer:

Least Common Multiple of 6240 and 6241 = 38943840

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 6241

6241 = 79 x 79

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

LCM = 38943840 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 79 x 79

Step 4: Therefore, the least common multiple of 6240 and 6241 is 38943840.