Least Common Multiple of 2498 and 2501

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 2501 the smallest integer that is 6247498 that is divisible by both numbers.

Least Common Multiple (LCM) of 2498 and 2501 is 6247498.

LCM(2498,2501) = 6247498

LCM of 2498 and 2501

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

LCM of:
and

Least Common Multiple of 2498 and 2501

LCM of 2498 and 2501 is 6247498

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2501. First we will calculate the prime factors of 2498 and 2501.

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 2501


41 2501
61 61
1

Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:

2501 = 411×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2501.

LCM(2498,2501) = 21×411×611×12491
LCM(2498,2501) = 6247498

Factors of 2498

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

1, 2, 1249, 2498

Factors of 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1, 41, 61, 2501

Least Common Multiple of 2498 and 2501 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 2501, than apply into the LCM equation.

GCF(2498,2501) = 1
LCM(2498,2501) = ( 2498 × 2501) / 1
LCM(2498,2501) = 6247498 / 1
LCM(2498,2501) = 6247498

Properties of LCM 2498 and 2501

(i) The LCM of 2501 and 2498 is associative

LCM of 2498 and 2501 = LCM of 2501 and 2498

Related Least Common Multiples of 2498

Related Least Common Multiples of 2501

Frequently Asked Questions on LCM of 2498 and 2501

1. What is the LCM of 2498 and 2501?

Answer: LCM of 2498 and 2501 is 6247498.

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 2501?

Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.

4. How to Find the LCM of 2498 and 2501?

Answer:

Least Common Multiple of 2498 and 2501 = 6247498

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2501

2501 = 41 x 61

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

LCM = 6247498 = 2 x 41 x 61 x 1249

Step 4: Therefore, the least common multiple of 2498 and 2501 is 6247498.