Least Common Multiple of 2499 and 2502

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 2502 the smallest integer that is 2084166 that is divisible by both numbers.

Least Common Multiple (LCM) of 2499 and 2502 is 2084166.

LCM(2499,2502) = 2084166

LCM of 2499 and 2502

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

LCM of:
and

Least Common Multiple of 2499 and 2502

LCM of 2499 and 2502 is 2084166

Least common multiple can be found by multiplying the highest exponent prime factors of 2499 and 2502. First we will calculate the prime factors of 2499 and 2502.

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 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2, 3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2499 and 2502.

LCM(2499,2502) = 21×32×72×171×1391
LCM(2499,2502) = 2084166

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 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502

Least Common Multiple of 2499 and 2502 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 2502, than apply into the LCM equation.

GCF(2499,2502) = 3
LCM(2499,2502) = ( 2499 × 2502) / 3
LCM(2499,2502) = 6252498 / 3
LCM(2499,2502) = 2084166

Properties of LCM 2499 and 2502

(i) The LCM of 2502 and 2499 is associative

LCM of 2499 and 2502 = LCM of 2502 and 2499

Related Least Common Multiples of 2499

Related Least Common Multiples of 2502

Frequently Asked Questions on LCM of 2499 and 2502

1. What is the LCM of 2499 and 2502?

Answer: LCM of 2499 and 2502 is 2084166.

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 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

4. How to Find the LCM of 2499 and 2502?

Answer:

Least Common Multiple of 2499 and 2502 = 2084166

Step 1: Find the prime factorization of 2499

2499 = 3 x 7 x 7 x 17

Step 2: Find the prime factorization of 2502

2502 = 2 x 3 x 3 x 139

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

LCM = 2084166 = 2 x 3 x 3 x 7 x 7 x 17 x 139

Step 4: Therefore, the least common multiple of 2499 and 2502 is 2084166.