Least Common Multiple of 7245 and 7250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7245 and 7250 the smallest integer that is 10505250 that is divisible by both numbers.

Least Common Multiple (LCM) of 7245 and 7250 is 10505250.

LCM(7245,7250) = 10505250

LCM of 7245 and 7250

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

LCM of:
and

Least Common Multiple of 7245 and 7250

LCM of 7245 and 7250 is 10505250

Least common multiple can be found by multiplying the highest exponent prime factors of 7245 and 7250. First we will calculate the prime factors of 7245 and 7250.

Prime Factorization of 7245


3 7245
3 2415
5 805
7 161
23 23
1

Prime factors of 7245 are 3, 5, 7,23. Prime factorization of 7245 in exponential form is:

7245 = 32×51×71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7245 and 7250.

LCM(7245,7250) = 21×32×53×71×231×291
LCM(7245,7250) = 10505250

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245

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

Least Common Multiple of 7245 and 7250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7245 and 7250, than apply into the LCM equation.

GCF(7245,7250) = 5
LCM(7245,7250) = ( 7245 × 7250) / 5
LCM(7245,7250) = 52526250 / 5
LCM(7245,7250) = 10505250

Properties of LCM 7245 and 7250

(i) The LCM of 7250 and 7245 is associative

LCM of 7245 and 7250 = LCM of 7250 and 7245

Related Least Common Multiples of 7245

Related Least Common Multiples of 7250

Frequently Asked Questions on LCM of 7245 and 7250

1. What is the LCM of 7245 and 7250?

Answer: LCM of 7245 and 7250 is 10505250.

2. What are the Factors of 7245?

Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.

3. 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.

4. How to Find the LCM of 7245 and 7250?

Answer:

Least Common Multiple of 7245 and 7250 = 10505250

Step 1: Find the prime factorization of 7245

7245 = 3 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 7250

7250 = 2 x 5 x 5 x 5 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 = 10505250 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 23 x 29

Step 4: Therefore, the least common multiple of 7245 and 7250 is 10505250.