Least Common Multiple of 2493 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 2493 and 2501 the smallest integer that is 6234993 that is divisible by both numbers.

Least Common Multiple (LCM) of 2493 and 2501 is 6234993.

LCM(2493,2501) = 6234993

LCM of 2493 and 2501

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

LCM of:
and

Least Common Multiple of 2493 and 2501

LCM of 2493 and 2501 is 6234993

Least common multiple can be found by multiplying the highest exponent prime factors of 2493 and 2501. First we will calculate the prime factors of 2493 and 2501.

Prime Factorization of 2493


3 2493
3 831
277 277
1

Prime factors of 2493 are 3,277. Prime factorization of 2493 in exponential form is:

2493 = 32×2771

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 2493 and 2501.

LCM(2493,2501) = 32×411×611×2771
LCM(2493,2501) = 6234993

Factors of 2493

List of positive integer factors of 2493 that divides 2493 without a remainder.

1, 3, 9, 277, 831, 2493

Factors of 2501

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

1, 41, 61, 2501

Least Common Multiple of 2493 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 2493 and 2501, than apply into the LCM equation.

GCF(2493,2501) = 1
LCM(2493,2501) = ( 2493 × 2501) / 1
LCM(2493,2501) = 6234993 / 1
LCM(2493,2501) = 6234993

Properties of LCM 2493 and 2501

(i) The LCM of 2501 and 2493 is associative

LCM of 2493 and 2501 = LCM of 2501 and 2493

Related Least Common Multiples of 2493

Related Least Common Multiples of 2501

Frequently Asked Questions on LCM of 2493 and 2501

1. What is the LCM of 2493 and 2501?

Answer: LCM of 2493 and 2501 is 6234993.

2. What are the Factors of 2493?

Answer: Factors of 2493 are 1, 3, 9, 277, 831, 2493. There are 6 integers that are factors of 2493. The greatest factor of 2493 is 2493.

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 2493 and 2501?

Answer:

Least Common Multiple of 2493 and 2501 = 6234993

Step 1: Find the prime factorization of 2493

2493 = 3 x 3 x 277

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 = 6234993 = 3 x 3 x 41 x 61 x 277

Step 4: Therefore, the least common multiple of 2493 and 2501 is 6234993.