Least Common Multiple of 7250 and 7256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7250 and 7256 the smallest integer that is 26303000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7250 and 7256 is 26303000.

LCM(7250,7256) = 26303000

LCM of 7250 and 7256

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

LCM of:
and

Least Common Multiple of 7250 and 7256

LCM of 7250 and 7256 is 26303000

Least common multiple can be found by multiplying the highest exponent prime factors of 7250 and 7256. First we will calculate the prime factors of 7250 and 7256.

Prime Factorization of 7250


2 7250
5 3625
5 725
5 145
29 29
1

Prime factors of 7250 are 2, 5,29. Prime factorization of 7250 in exponential form is:

7250 = 21×53×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7250 and 7256.

LCM(7250,7256) = 23×53×291×9071
LCM(7250,7256) = 26303000

Factors of 7250

List of positive integer factors of 7250 that divides 7250 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250

Factors of 7256

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

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

Least Common Multiple of 7250 and 7256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7250 and 7256, than apply into the LCM equation.

GCF(7250,7256) = 2
LCM(7250,7256) = ( 7250 × 7256) / 2
LCM(7250,7256) = 52606000 / 2
LCM(7250,7256) = 26303000

Properties of LCM 7250 and 7256

(i) The LCM of 7256 and 7250 is associative

LCM of 7250 and 7256 = LCM of 7256 and 7250

Related Least Common Multiples of 7250

Related Least Common Multiples of 7256

Frequently Asked Questions on LCM of 7250 and 7256

1. What is the LCM of 7250 and 7256?

Answer: LCM of 7250 and 7256 is 26303000.

2. What are the Factors of 7250?

Answer: Factors of 7250 are 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250. There are 16 integers that are factors of 7250. The greatest factor of 7250 is 7250.

3. 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.

4. How to Find the LCM of 7250 and 7256?

Answer:

Least Common Multiple of 7250 and 7256 = 26303000

Step 1: Find the prime factorization of 7250

7250 = 2 x 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 7256

7256 = 2 x 2 x 2 x 907

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

LCM = 26303000 = 2 x 2 x 2 x 5 x 5 x 5 x 29 x 907

Step 4: Therefore, the least common multiple of 7250 and 7256 is 26303000.