Least Common Multiple of 2503 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 2503 and 2505 the smallest integer that is 6270015 that is divisible by both numbers.

Least Common Multiple (LCM) of 2503 and 2505 is 6270015.

LCM(2503,2505) = 6270015

LCM of 2503 and 2505

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

LCM of:
and

Least Common Multiple of 2503 and 2505

LCM of 2503 and 2505 is 6270015

Least common multiple can be found by multiplying the highest exponent prime factors of 2503 and 2505. First we will calculate the prime factors of 2503 and 2505.

Prime Factorization of 2503


2503 2503
1

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

2503 = 25031

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 2503 and 2505.

LCM(2503,2505) = 31×51×1671×25031
LCM(2503,2505) = 6270015

Factors of 2503

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

1, 2503

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 2503 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 2503 and 2505, than apply into the LCM equation.

GCF(2503,2505) = 1
LCM(2503,2505) = ( 2503 × 2505) / 1
LCM(2503,2505) = 6270015 / 1
LCM(2503,2505) = 6270015

Properties of LCM 2503 and 2505

(i) The LCM of 2505 and 2503 is associative

LCM of 2503 and 2505 = LCM of 2505 and 2503

Related Least Common Multiples of 2503

Related Least Common Multiples of 2505

Frequently Asked Questions on LCM of 2503 and 2505

1. What is the LCM of 2503 and 2505?

Answer: LCM of 2503 and 2505 is 6270015.

2. 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.

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 2503 and 2505?

Answer:

Least Common Multiple of 2503 and 2505 = 6270015

Step 1: Find the prime factorization of 2503

2503 = 2503

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 = 6270015 = 3 x 5 x 167 x 2503

Step 4: Therefore, the least common multiple of 2503 and 2505 is 6270015.