Least Common Multiple of 7250 and 7257

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 7257 the smallest integer that is 52613250 that is divisible by both numbers.

Least Common Multiple (LCM) of 7250 and 7257 is 52613250.

LCM(7250,7257) = 52613250

LCM of 7250 and 7257

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

LCM of:
and

Least Common Multiple of 7250 and 7257

LCM of 7250 and 7257 is 52613250

Least common multiple can be found by multiplying the highest exponent prime factors of 7250 and 7257. First we will calculate the prime factors of 7250 and 7257.

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 7257


3 7257
41 2419
59 59
1

Prime factors of 7257 are 3, 41,59. Prime factorization of 7257 in exponential form is:

7257 = 31×411×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7250 and 7257.

LCM(7250,7257) = 21×31×53×291×411×591
LCM(7250,7257) = 52613250

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 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1, 3, 41, 59, 123, 177, 2419, 7257

Least Common Multiple of 7250 and 7257 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 7257, than apply into the LCM equation.

GCF(7250,7257) = 1
LCM(7250,7257) = ( 7250 × 7257) / 1
LCM(7250,7257) = 52613250 / 1
LCM(7250,7257) = 52613250

Properties of LCM 7250 and 7257

(i) The LCM of 7257 and 7250 is associative

LCM of 7250 and 7257 = LCM of 7257 and 7250

Related Least Common Multiples of 7250

Related Least Common Multiples of 7257

Frequently Asked Questions on LCM of 7250 and 7257

1. What is the LCM of 7250 and 7257?

Answer: LCM of 7250 and 7257 is 52613250.

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 7257?

Answer: Factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257. There are 8 integers that are factors of 7257. The greatest factor of 7257 is 7257.

4. How to Find the LCM of 7250 and 7257?

Answer:

Least Common Multiple of 7250 and 7257 = 52613250

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 7257

7257 = 3 x 41 x 59

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

LCM = 52613250 = 2 x 3 x 5 x 5 x 5 x 29 x 41 x 59

Step 4: Therefore, the least common multiple of 7250 and 7257 is 52613250.