Least Common Multiple of 7249 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 7249 and 7250 the smallest integer that is 52555250 that is divisible by both numbers.

Least Common Multiple (LCM) of 7249 and 7250 is 52555250.

LCM(7249,7250) = 52555250

LCM of 7249 and 7250

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

LCM of:
and

Least Common Multiple of 7249 and 7250

LCM of 7249 and 7250 is 52555250

Least common multiple can be found by multiplying the highest exponent prime factors of 7249 and 7250. First we will calculate the prime factors of 7249 and 7250.

Prime Factorization of 7249


11 7249
659 659
1

Prime factors of 7249 are 11,659. Prime factorization of 7249 in exponential form is:

7249 = 111×6591

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 7249 and 7250.

LCM(7249,7250) = 21×53×111×291×6591
LCM(7249,7250) = 52555250

Factors of 7249

List of positive integer factors of 7249 that divides 7249 without a remainder.

1, 11, 659, 7249

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 7249 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 7249 and 7250, than apply into the LCM equation.

GCF(7249,7250) = 1
LCM(7249,7250) = ( 7249 × 7250) / 1
LCM(7249,7250) = 52555250 / 1
LCM(7249,7250) = 52555250

Properties of LCM 7249 and 7250

(i) The LCM of 7250 and 7249 is associative

LCM of 7249 and 7250 = LCM of 7250 and 7249

Related Least Common Multiples of 7249

Related Least Common Multiples of 7250

Frequently Asked Questions on LCM of 7249 and 7250

1. What is the LCM of 7249 and 7250?

Answer: LCM of 7249 and 7250 is 52555250.

2. What are the Factors of 7249?

Answer: Factors of 7249 are 1, 11, 659, 7249. There are 4 integers that are factors of 7249. The greatest factor of 7249 is 7249.

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 7249 and 7250?

Answer:

Least Common Multiple of 7249 and 7250 = 52555250

Step 1: Find the prime factorization of 7249

7249 = 11 x 659

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 = 52555250 = 2 x 5 x 5 x 5 x 11 x 29 x 659

Step 4: Therefore, the least common multiple of 7249 and 7250 is 52555250.