Least Common Multiple of 6256 and 6260

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 6260 the smallest integer that is 9790640 that is divisible by both numbers.

Least Common Multiple (LCM) of 6256 and 6260 is 9790640.

LCM(6256,6260) = 9790640

LCM of 6256 and 6260

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

LCM of:
and

Least Common Multiple of 6256 and 6260

LCM of 6256 and 6260 is 9790640

Least common multiple can be found by multiplying the highest exponent prime factors of 6256 and 6260. First we will calculate the prime factors of 6256 and 6260.

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 6260


2 6260
2 3130
5 1565
313 313
1

Prime factors of 6260 are 2, 5,313. Prime factorization of 6260 in exponential form is:

6260 = 22×51×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 6256 and 6260.

LCM(6256,6260) = 24×51×171×231×3131
LCM(6256,6260) = 9790640

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 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260

Least Common Multiple of 6256 and 6260 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 6260, than apply into the LCM equation.

GCF(6256,6260) = 4
LCM(6256,6260) = ( 6256 × 6260) / 4
LCM(6256,6260) = 39162560 / 4
LCM(6256,6260) = 9790640

Properties of LCM 6256 and 6260

(i) The LCM of 6260 and 6256 is associative

LCM of 6256 and 6260 = LCM of 6260 and 6256

Related Least Common Multiples of 6256

Related Least Common Multiples of 6260

Frequently Asked Questions on LCM of 6256 and 6260

1. What is the LCM of 6256 and 6260?

Answer: LCM of 6256 and 6260 is 9790640.

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 6260?

Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.

4. How to Find the LCM of 6256 and 6260?

Answer:

Least Common Multiple of 6256 and 6260 = 9790640

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 6260

6260 = 2 x 2 x 5 x 313

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

LCM = 9790640 = 2 x 2 x 2 x 2 x 5 x 17 x 23 x 313

Step 4: Therefore, the least common multiple of 6256 and 6260 is 9790640.