Least Common Multiple of 2498 and 2505

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 2505 the smallest integer that is 6257490 that is divisible by both numbers.

Least Common Multiple (LCM) of 2498 and 2505 is 6257490.

LCM(2498,2505) = 6257490

LCM of 2498 and 2505

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

LCM of:
and

Least Common Multiple of 2498 and 2505

LCM of 2498 and 2505 is 6257490

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2505. First we will calculate the prime factors of 2498 and 2505.

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 2505


3 2505
5 835
167 167
1

Prime factors of 2505 are 3, 5,167. Prime factorization of 2505 in exponential form is:

2505 = 31×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2505.

LCM(2498,2505) = 21×31×51×1671×12491
LCM(2498,2505) = 6257490

Factors of 2498

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

1, 2, 1249, 2498

Factors of 2505

List of positive integer factors of 2505 that divides 2505 without a remainder.

1, 3, 5, 15, 167, 501, 835, 2505

Least Common Multiple of 2498 and 2505 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 2505, than apply into the LCM equation.

GCF(2498,2505) = 1
LCM(2498,2505) = ( 2498 × 2505) / 1
LCM(2498,2505) = 6257490 / 1
LCM(2498,2505) = 6257490

Properties of LCM 2498 and 2505

(i) The LCM of 2505 and 2498 is associative

LCM of 2498 and 2505 = LCM of 2505 and 2498

Related Least Common Multiples of 2498

Related Least Common Multiples of 2505

Frequently Asked Questions on LCM of 2498 and 2505

1. What is the LCM of 2498 and 2505?

Answer: LCM of 2498 and 2505 is 6257490.

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 2505?

Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.

4. How to Find the LCM of 2498 and 2505?

Answer:

Least Common Multiple of 2498 and 2505 = 6257490

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2505

2505 = 3 x 5 x 167

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

LCM = 6257490 = 2 x 3 x 5 x 167 x 1249

Step 4: Therefore, the least common multiple of 2498 and 2505 is 6257490.