Least Common Multiple of 2499 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 2499 and 2504 the smallest integer that is 6257496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2499 and 2504 is 6257496.

LCM(2499,2504) = 6257496

LCM of 2499 and 2504

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

LCM of:
and

Least Common Multiple of 2499 and 2504

LCM of 2499 and 2504 is 6257496

Least common multiple can be found by multiplying the highest exponent prime factors of 2499 and 2504. First we will calculate the prime factors of 2499 and 2504.

Prime Factorization of 2499


3 2499
7 833
7 119
17 17
1

Prime factors of 2499 are 3, 7,17. Prime factorization of 2499 in exponential form is:

2499 = 31×72×171

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 2499 and 2504.

LCM(2499,2504) = 23×31×72×171×3131
LCM(2499,2504) = 6257496

Factors of 2499

List of positive integer factors of 2499 that divides 2499 without a remainder.

1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499

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 2499 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 2499 and 2504, than apply into the LCM equation.

GCF(2499,2504) = 1
LCM(2499,2504) = ( 2499 × 2504) / 1
LCM(2499,2504) = 6257496 / 1
LCM(2499,2504) = 6257496

Properties of LCM 2499 and 2504

(i) The LCM of 2504 and 2499 is associative

LCM of 2499 and 2504 = LCM of 2504 and 2499

Related Least Common Multiples of 2499

Related Least Common Multiples of 2504

Frequently Asked Questions on LCM of 2499 and 2504

1. What is the LCM of 2499 and 2504?

Answer: LCM of 2499 and 2504 is 6257496.

2. What are the Factors of 2499?

Answer: Factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499. There are 12 integers that are factors of 2499. The greatest factor of 2499 is 2499.

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 2499 and 2504?

Answer:

Least Common Multiple of 2499 and 2504 = 6257496

Step 1: Find the prime factorization of 2499

2499 = 3 x 7 x 7 x 17

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 = 6257496 = 2 x 2 x 2 x 3 x 7 x 7 x 17 x 313

Step 4: Therefore, the least common multiple of 2499 and 2504 is 6257496.