Least Common Multiple of 2498 and 2506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2498 and 2506 the smallest integer that is 3129994 that is divisible by both numbers.

Least Common Multiple (LCM) of 2498 and 2506 is 3129994.

LCM(2498,2506) = 3129994

LCM of 2498 and 2506

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

LCM of:
and

Least Common Multiple of 2498 and 2506

LCM of 2498 and 2506 is 3129994

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2506. First we will calculate the prime factors of 2498 and 2506.

Prime Factorization of 2498


2 2498
1249 1249
1

Prime factors of 2498 are 2,1249. Prime factorization of 2498 in exponential form is:

2498 = 21×12491

Prime Factorization of 2506


2 2506
7 1253
179 179
1

Prime factors of 2506 are 2, 7,179. Prime factorization of 2506 in exponential form is:

2506 = 21×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2506.

LCM(2498,2506) = 21×71×1791×12491
LCM(2498,2506) = 3129994

Factors of 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1, 2, 1249, 2498

Factors of 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1, 2, 7, 14, 179, 358, 1253, 2506

Least Common Multiple of 2498 and 2506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2498 and 2506, than apply into the LCM equation.

GCF(2498,2506) = 2
LCM(2498,2506) = ( 2498 × 2506) / 2
LCM(2498,2506) = 6259988 / 2
LCM(2498,2506) = 3129994

Properties of LCM 2498 and 2506

(i) The LCM of 2506 and 2498 is associative

LCM of 2498 and 2506 = LCM of 2506 and 2498

Related Least Common Multiples of 2498

Related Least Common Multiples of 2506

Frequently Asked Questions on LCM of 2498 and 2506

1. What is the LCM of 2498 and 2506?

Answer: LCM of 2498 and 2506 is 3129994.

2. What are the Factors of 2498?

Answer: Factors of 2498 are 1, 2, 1249, 2498. There are 4 integers that are factors of 2498. The greatest factor of 2498 is 2498.

3. What are the Factors of 2506?

Answer: Factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506. There are 8 integers that are factors of 2506. The greatest factor of 2506 is 2506.

4. How to Find the LCM of 2498 and 2506?

Answer:

Least Common Multiple of 2498 and 2506 = 3129994

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2506

2506 = 2 x 7 x 179

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

LCM = 3129994 = 2 x 7 x 179 x 1249

Step 4: Therefore, the least common multiple of 2498 and 2506 is 3129994.