Least Common Multiple of 2497 and 2504

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 2504 the smallest integer that is 6252488 that is divisible by both numbers.

Least Common Multiple (LCM) of 2497 and 2504 is 6252488.

LCM(2497,2504) = 6252488

LCM of 2497 and 2504

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

LCM of:
and

Least Common Multiple of 2497 and 2504

LCM of 2497 and 2504 is 6252488

Least common multiple can be found by multiplying the highest exponent prime factors of 2497 and 2504. First we will calculate the prime factors of 2497 and 2504.

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 2504


2 2504
2 1252
2 626
313 313
1

Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:

2504 = 23×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 2497 and 2504.

LCM(2497,2504) = 23×111×2271×3131
LCM(2497,2504) = 6252488

Factors of 2497

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

1, 11, 227, 2497

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1, 2, 4, 8, 313, 626, 1252, 2504

Least Common Multiple of 2497 and 2504 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 2504, than apply into the LCM equation.

GCF(2497,2504) = 1
LCM(2497,2504) = ( 2497 × 2504) / 1
LCM(2497,2504) = 6252488 / 1
LCM(2497,2504) = 6252488

Properties of LCM 2497 and 2504

(i) The LCM of 2504 and 2497 is associative

LCM of 2497 and 2504 = LCM of 2504 and 2497

Related Least Common Multiples of 2497

Related Least Common Multiples of 2504

Frequently Asked Questions on LCM of 2497 and 2504

1. What is the LCM of 2497 and 2504?

Answer: LCM of 2497 and 2504 is 6252488.

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 2504?

Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.

4. How to Find the LCM of 2497 and 2504?

Answer:

Least Common Multiple of 2497 and 2504 = 6252488

Step 1: Find the prime factorization of 2497

2497 = 11 x 227

Step 2: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

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

LCM = 6252488 = 2 x 2 x 2 x 11 x 227 x 313

Step 4: Therefore, the least common multiple of 2497 and 2504 is 6252488.