Least Common Multiple of 6259 and 6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6259 and 6264 the smallest integer that is 39206376 that is divisible by both numbers.

Least Common Multiple (LCM) of 6259 and 6264 is 39206376.

LCM(6259,6264) = 39206376

LCM of 6259 and 6264

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

LCM of:
and

Least Common Multiple of 6259 and 6264

LCM of 6259 and 6264 is 39206376

Least common multiple can be found by multiplying the highest exponent prime factors of 6259 and 6264. First we will calculate the prime factors of 6259 and 6264.

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

Prime Factorization of 6264


2 6264
2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 6264 are 2, 3,29. Prime factorization of 6264 in exponential form is:

6264 = 23×33×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6259 and 6264.

LCM(6259,6264) = 23×33×111×291×5691
LCM(6259,6264) = 39206376

Factors of 6259

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

1, 11, 569, 6259

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264

Least Common Multiple of 6259 and 6264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6259 and 6264, than apply into the LCM equation.

GCF(6259,6264) = 1
LCM(6259,6264) = ( 6259 × 6264) / 1
LCM(6259,6264) = 39206376 / 1
LCM(6259,6264) = 39206376

Properties of LCM 6259 and 6264

(i) The LCM of 6264 and 6259 is associative

LCM of 6259 and 6264 = LCM of 6264 and 6259

Related Least Common Multiples of 6259

Related Least Common Multiples of 6264

Frequently Asked Questions on LCM of 6259 and 6264

1. What is the LCM of 6259 and 6264?

Answer: LCM of 6259 and 6264 is 39206376.

2. 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.

3. What are the Factors of 6264?

Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.

4. How to Find the LCM of 6259 and 6264?

Answer:

Least Common Multiple of 6259 and 6264 = 39206376

Step 1: Find the prime factorization of 6259

6259 = 11 x 569

Step 2: Find the prime factorization of 6264

6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29

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

LCM = 39206376 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 29 x 569

Step 4: Therefore, the least common multiple of 6259 and 6264 is 39206376.