Least Common Multiple of 6235 and 6240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6235 and 6240 the smallest integer that is 7781280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6235 and 6240 is 7781280.

LCM(6235,6240) = 7781280

LCM of 6235 and 6240

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

LCM of:
and

Least Common Multiple of 6235 and 6240

LCM of 6235 and 6240 is 7781280

Least common multiple can be found by multiplying the highest exponent prime factors of 6235 and 6240. First we will calculate the prime factors of 6235 and 6240.

Prime Factorization of 6235


5 6235
29 1247
43 43
1

Prime factors of 6235 are 5, 29,43. Prime factorization of 6235 in exponential form is:

6235 = 51×291×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6235 and 6240.

LCM(6235,6240) = 25×31×51×131×291×431
LCM(6235,6240) = 7781280

Factors of 6235

List of positive integer factors of 6235 that divides 6235 without a remainder.

1, 5, 29, 43, 145, 215, 1247, 6235

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

Least Common Multiple of 6235 and 6240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6235 and 6240, than apply into the LCM equation.

GCF(6235,6240) = 5
LCM(6235,6240) = ( 6235 × 6240) / 5
LCM(6235,6240) = 38906400 / 5
LCM(6235,6240) = 7781280

Properties of LCM 6235 and 6240

(i) The LCM of 6240 and 6235 is associative

LCM of 6235 and 6240 = LCM of 6240 and 6235

Related Least Common Multiples of 6235

Related Least Common Multiples of 6240

Frequently Asked Questions on LCM of 6235 and 6240

1. What is the LCM of 6235 and 6240?

Answer: LCM of 6235 and 6240 is 7781280.

2. What are the Factors of 6235?

Answer: Factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235. There are 8 integers that are factors of 6235. The greatest factor of 6235 is 6235.

3. 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.

4. How to Find the LCM of 6235 and 6240?

Answer:

Least Common Multiple of 6235 and 6240 = 7781280

Step 1: Find the prime factorization of 6235

6235 = 5 x 29 x 43

Step 2: Find the prime factorization of 6240

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

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

LCM = 7781280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 29 x 43

Step 4: Therefore, the least common multiple of 6235 and 6240 is 7781280.