Least Common Multiple of 7249 and 7251

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 7251 the smallest integer that is 52562499 that is divisible by both numbers.

Least Common Multiple (LCM) of 7249 and 7251 is 52562499.

LCM(7249,7251) = 52562499

LCM of 7249 and 7251

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

LCM of:
and

Least Common Multiple of 7249 and 7251

LCM of 7249 and 7251 is 52562499

Least common multiple can be found by multiplying the highest exponent prime factors of 7249 and 7251. First we will calculate the prime factors of 7249 and 7251.

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 7251


3 7251
2417 2417
1

Prime factors of 7251 are 3,2417. Prime factorization of 7251 in exponential form is:

7251 = 31×24171

Now multiplying the highest exponent prime factors to calculate the LCM of 7249 and 7251.

LCM(7249,7251) = 31×111×6591×24171
LCM(7249,7251) = 52562499

Factors of 7249

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

1, 11, 659, 7249

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1, 3, 2417, 7251

Least Common Multiple of 7249 and 7251 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 7251, than apply into the LCM equation.

GCF(7249,7251) = 1
LCM(7249,7251) = ( 7249 × 7251) / 1
LCM(7249,7251) = 52562499 / 1
LCM(7249,7251) = 52562499

Properties of LCM 7249 and 7251

(i) The LCM of 7251 and 7249 is associative

LCM of 7249 and 7251 = LCM of 7251 and 7249

Related Least Common Multiples of 7249

Related Least Common Multiples of 7251

Frequently Asked Questions on LCM of 7249 and 7251

1. What is the LCM of 7249 and 7251?

Answer: LCM of 7249 and 7251 is 52562499.

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 7251?

Answer: Factors of 7251 are 1, 3, 2417, 7251. There are 4 integers that are factors of 7251. The greatest factor of 7251 is 7251.

4. How to Find the LCM of 7249 and 7251?

Answer:

Least Common Multiple of 7249 and 7251 = 52562499

Step 1: Find the prime factorization of 7249

7249 = 11 x 659

Step 2: Find the prime factorization of 7251

7251 = 3 x 2417

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

LCM = 52562499 = 3 x 11 x 659 x 2417

Step 4: Therefore, the least common multiple of 7249 and 7251 is 52562499.