Least Common Multiple of 7250 and 7255

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 7255 the smallest integer that is 10519750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7250 and 7255 is 10519750.

LCM(7250,7255) = 10519750

LCM of 7250 and 7255

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

LCM of:
and

Least Common Multiple of 7250 and 7255

LCM of 7250 and 7255 is 10519750

Least common multiple can be found by multiplying the highest exponent prime factors of 7250 and 7255. First we will calculate the prime factors of 7250 and 7255.

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 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 7250 and 7255.

LCM(7250,7255) = 21×53×291×14511
LCM(7250,7255) = 10519750

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 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1, 5, 1451, 7255

Least Common Multiple of 7250 and 7255 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 7255, than apply into the LCM equation.

GCF(7250,7255) = 5
LCM(7250,7255) = ( 7250 × 7255) / 5
LCM(7250,7255) = 52598750 / 5
LCM(7250,7255) = 10519750

Properties of LCM 7250 and 7255

(i) The LCM of 7255 and 7250 is associative

LCM of 7250 and 7255 = LCM of 7255 and 7250

Related Least Common Multiples of 7250

Related Least Common Multiples of 7255

Frequently Asked Questions on LCM of 7250 and 7255

1. What is the LCM of 7250 and 7255?

Answer: LCM of 7250 and 7255 is 10519750.

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 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

4. How to Find the LCM of 7250 and 7255?

Answer:

Least Common Multiple of 7250 and 7255 = 10519750

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 7255

7255 = 5 x 1451

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

LCM = 10519750 = 2 x 5 x 5 x 5 x 29 x 1451

Step 4: Therefore, the least common multiple of 7250 and 7255 is 10519750.