Least Common Multiple of 6256 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 6256 and 6264 the smallest integer that is 4898448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6256 and 6264 is 4898448.

LCM(6256,6264) = 4898448

LCM of 6256 and 6264

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

LCM of:
and

Least Common Multiple of 6256 and 6264

LCM of 6256 and 6264 is 4898448

Least common multiple can be found by multiplying the highest exponent prime factors of 6256 and 6264. First we will calculate the prime factors of 6256 and 6264.

Prime Factorization of 6256


2 6256
2 3128
2 1564
2 782
17 391
23 23
1

Prime factors of 6256 are 2, 17,23. Prime factorization of 6256 in exponential form is:

6256 = 24×171×231

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 6256 and 6264.

LCM(6256,6264) = 24×33×171×231×291
LCM(6256,6264) = 4898448

Factors of 6256

List of positive integer factors of 6256 that divides 6256 without a remainder.

1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256

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 6256 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 6256 and 6264, than apply into the LCM equation.

GCF(6256,6264) = 8
LCM(6256,6264) = ( 6256 × 6264) / 8
LCM(6256,6264) = 39187584 / 8
LCM(6256,6264) = 4898448

Properties of LCM 6256 and 6264

(i) The LCM of 6264 and 6256 is associative

LCM of 6256 and 6264 = LCM of 6264 and 6256

Related Least Common Multiples of 6256

Related Least Common Multiples of 6264

Frequently Asked Questions on LCM of 6256 and 6264

1. What is the LCM of 6256 and 6264?

Answer: LCM of 6256 and 6264 is 4898448.

2. What are the Factors of 6256?

Answer: Factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256. There are 20 integers that are factors of 6256. The greatest factor of 6256 is 6256.

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 6256 and 6264?

Answer:

Least Common Multiple of 6256 and 6264 = 4898448

Step 1: Find the prime factorization of 6256

6256 = 2 x 2 x 2 x 2 x 17 x 23

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 = 4898448 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 6256 and 6264 is 4898448.