Least Common Multiple of 2497 and 2503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2497 and 2503 the smallest integer that is 6249991 that is divisible by both numbers.

Least Common Multiple (LCM) of 2497 and 2503 is 6249991.

LCM(2497,2503) = 6249991

LCM of 2497 and 2503

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

LCM of:
and

Least Common Multiple of 2497 and 2503

LCM of 2497 and 2503 is 6249991

Least common multiple can be found by multiplying the highest exponent prime factors of 2497 and 2503. First we will calculate the prime factors of 2497 and 2503.

Prime Factorization of 2497


11 2497
227 227
1

Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:

2497 = 111×2271

Prime Factorization of 2503


2503 2503
1

Prime factors of 2503 are 2503. Prime factorization of 2503 in exponential form is:

2503 = 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 2497 and 2503.

LCM(2497,2503) = 111×2271×25031
LCM(2497,2503) = 6249991

Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1, 11, 227, 2497

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1, 2503

Least Common Multiple of 2497 and 2503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2497 and 2503, than apply into the LCM equation.

GCF(2497,2503) = 1
LCM(2497,2503) = ( 2497 × 2503) / 1
LCM(2497,2503) = 6249991 / 1
LCM(2497,2503) = 6249991

Properties of LCM 2497 and 2503

(i) The LCM of 2503 and 2497 is associative

LCM of 2497 and 2503 = LCM of 2503 and 2497

Related Least Common Multiples of 2497

Related Least Common Multiples of 2503

Frequently Asked Questions on LCM of 2497 and 2503

1. What is the LCM of 2497 and 2503?

Answer: LCM of 2497 and 2503 is 6249991.

2. What are the Factors of 2497?

Answer: Factors of 2497 are 1, 11, 227, 2497. There are 4 integers that are factors of 2497. The greatest factor of 2497 is 2497.

3. What are the Factors of 2503?

Answer: Factors of 2503 are 1, 2503. There are 2 integers that are factors of 2503. The greatest factor of 2503 is 2503.

4. How to Find the LCM of 2497 and 2503?

Answer:

Least Common Multiple of 2497 and 2503 = 6249991

Step 1: Find the prime factorization of 2497

2497 = 11 x 227

Step 2: Find the prime factorization of 2503

2503 = 2503

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

LCM = 6249991 = 11 x 227 x 2503

Step 4: Therefore, the least common multiple of 2497 and 2503 is 6249991.