Least Common Multiple of 7249 and 7253

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 7253 the smallest integer that is 52576997 that is divisible by both numbers.

Least Common Multiple (LCM) of 7249 and 7253 is 52576997.

LCM(7249,7253) = 52576997

LCM of 7249 and 7253

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

LCM of:
and

Least Common Multiple of 7249 and 7253

LCM of 7249 and 7253 is 52576997

Least common multiple can be found by multiplying the highest exponent prime factors of 7249 and 7253. First we will calculate the prime factors of 7249 and 7253.

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 7253


7253 7253
1

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

Now multiplying the highest exponent prime factors to calculate the LCM of 7249 and 7253.

LCM(7249,7253) = 111×6591×72531
LCM(7249,7253) = 52576997

Factors of 7249

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

1, 11, 659, 7249

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1, 7253

Least Common Multiple of 7249 and 7253 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 7253, than apply into the LCM equation.

GCF(7249,7253) = 1
LCM(7249,7253) = ( 7249 × 7253) / 1
LCM(7249,7253) = 52576997 / 1
LCM(7249,7253) = 52576997

Properties of LCM 7249 and 7253

(i) The LCM of 7253 and 7249 is associative

LCM of 7249 and 7253 = LCM of 7253 and 7249

Related Least Common Multiples of 7249

Related Least Common Multiples of 7253

Frequently Asked Questions on LCM of 7249 and 7253

1. What is the LCM of 7249 and 7253?

Answer: LCM of 7249 and 7253 is 52576997.

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 7253?

Answer: Factors of 7253 are 1, 7253. There are 2 integers that are factors of 7253. The greatest factor of 7253 is 7253.

4. How to Find the LCM of 7249 and 7253?

Answer:

Least Common Multiple of 7249 and 7253 = 52576997

Step 1: Find the prime factorization of 7249

7249 = 11 x 659

Step 2: Find the prime factorization of 7253

7253 = 7253

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

LCM = 52576997 = 11 x 659 x 7253

Step 4: Therefore, the least common multiple of 7249 and 7253 is 52576997.