Least Common Multiple of 2501 and 2503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2501 and 2503 the smallest integer that is 6260003 that is divisible by both numbers.

Least Common Multiple (LCM) of 2501 and 2503 is 6260003.

LCM(2501,2503) = 6260003

LCM of 2501 and 2503

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

LCM of:
and

Least Common Multiple of 2501 and 2503

LCM of 2501 and 2503 is 6260003

Least common multiple can be found by multiplying the highest exponent prime factors of 2501 and 2503. First we will calculate the prime factors of 2501 and 2503.

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

Prime Factorization of 2503


2503 2503
1

Prime factors of 2503 are 2503. Prime factorization of 2503 in exponential form is:

2503 = 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 2501 and 2503.

LCM(2501,2503) = 411×611×25031
LCM(2501,2503) = 6260003

Factors of 2501

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

1, 41, 61, 2501

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1, 2503

Least Common Multiple of 2501 and 2503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2501 and 2503, than apply into the LCM equation.

GCF(2501,2503) = 1
LCM(2501,2503) = ( 2501 × 2503) / 1
LCM(2501,2503) = 6260003 / 1
LCM(2501,2503) = 6260003

Properties of LCM 2501 and 2503

(i) The LCM of 2503 and 2501 is associative

LCM of 2501 and 2503 = LCM of 2503 and 2501

Related Least Common Multiples of 2501

Related Least Common Multiples of 2503

Frequently Asked Questions on LCM of 2501 and 2503

1. What is the LCM of 2501 and 2503?

Answer: LCM of 2501 and 2503 is 6260003.

2. 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.

3. What are the Factors of 2503?

Answer: Factors of 2503 are 1, 2503. There are 2 integers that are factors of 2503. The greatest factor of 2503 is 2503.

4. How to Find the LCM of 2501 and 2503?

Answer:

Least Common Multiple of 2501 and 2503 = 6260003

Step 1: Find the prime factorization of 2501

2501 = 41 x 61

Step 2: Find the prime factorization of 2503

2503 = 2503

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

LCM = 6260003 = 41 x 61 x 2503

Step 4: Therefore, the least common multiple of 2501 and 2503 is 6260003.