Least Common Multiple of 7256 and 7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7256 and 7264 the smallest integer that is 6588448 that is divisible by both numbers.

Least Common Multiple (LCM) of 7256 and 7264 is 6588448.

LCM(7256,7264) = 6588448

LCM of 7256 and 7264

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

LCM of:
and

Least Common Multiple of 7256 and 7264

LCM of 7256 and 7264 is 6588448

Least common multiple can be found by multiplying the highest exponent prime factors of 7256 and 7264. First we will calculate the prime factors of 7256 and 7264.

Prime Factorization of 7256


2 7256
2 3628
2 1814
907 907
1

Prime factors of 7256 are 2,907. Prime factorization of 7256 in exponential form is:

7256 = 23×9071

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7256 and 7264.

LCM(7256,7264) = 25×2271×9071
LCM(7256,7264) = 6588448

Factors of 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1, 2, 4, 8, 907, 1814, 3628, 7256

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

Least Common Multiple of 7256 and 7264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7256 and 7264, than apply into the LCM equation.

GCF(7256,7264) = 8
LCM(7256,7264) = ( 7256 × 7264) / 8
LCM(7256,7264) = 52707584 / 8
LCM(7256,7264) = 6588448

Properties of LCM 7256 and 7264

(i) The LCM of 7264 and 7256 is associative

LCM of 7256 and 7264 = LCM of 7264 and 7256

Related Least Common Multiples of 7256

Related Least Common Multiples of 7264

Frequently Asked Questions on LCM of 7256 and 7264

1. What is the LCM of 7256 and 7264?

Answer: LCM of 7256 and 7264 is 6588448.

2. What are the Factors of 7256?

Answer: Factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256. There are 8 integers that are factors of 7256. The greatest factor of 7256 is 7256.

3. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

4. How to Find the LCM of 7256 and 7264?

Answer:

Least Common Multiple of 7256 and 7264 = 6588448

Step 1: Find the prime factorization of 7256

7256 = 2 x 2 x 2 x 907

Step 2: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

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

LCM = 6588448 = 2 x 2 x 2 x 2 x 2 x 227 x 907

Step 4: Therefore, the least common multiple of 7256 and 7264 is 6588448.