Least Common Multiple of 6255 and 6259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 6255 and 6259 the smallest integer that is 39150045 that is divisible by both numbers.

Least Common Multiple (LCM) of 6255 and 6259 is 39150045.

LCM(6255,6259) = 39150045

LCM of 6255 and 6259

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

LCM of:
and

Least Common Multiple of 6255 and 6259

LCM of 6255 and 6259 is 39150045

Least common multiple can be found by multiplying the highest exponent prime factors of 6255 and 6259. First we will calculate the prime factors of 6255 and 6259.

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

Prime Factorization of 6259


11 6259
569 569
1

Prime factors of 6259 are 11,569. Prime factorization of 6259 in exponential form is:

6259 = 111×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 6255 and 6259.

LCM(6255,6259) = 32×51×111×1391×5691
LCM(6255,6259) = 39150045

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

Factors of 6259

List of positive integer factors of 6259 that divides 6259 without a remainder.

1, 11, 569, 6259

Least Common Multiple of 6255 and 6259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6255 and 6259, than apply into the LCM equation.

GCF(6255,6259) = 1
LCM(6255,6259) = ( 6255 × 6259) / 1
LCM(6255,6259) = 39150045 / 1
LCM(6255,6259) = 39150045

Properties of LCM 6255 and 6259

(i) The LCM of 6259 and 6255 is associative

LCM of 6255 and 6259 = LCM of 6259 and 6255

Frequently Asked Questions on LCM of 6255 and 6259

1. What is the LCM of 6255 and 6259?

Answer: LCM of 6255 and 6259 is 39150045.

2. 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.

3. What are the Factors of 6259?

Answer: Factors of 6259 are 1, 11, 569, 6259. There are 4 integers that are factors of 6259. The greatest factor of 6259 is 6259.

4. How to Find the LCM of 6255 and 6259?

Answer:

Least Common Multiple of 6255 and 6259 = 39150045

Step 1: Find the prime factorization of 6255

6255 = 3 x 3 x 5 x 139

Step 2: Find the prime factorization of 6259

6259 = 11 x 569

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

LCM = 39150045 = 3 x 3 x 5 x 11 x 139 x 569

Step 4: Therefore, the least common multiple of 6255 and 6259 is 39150045.