Least Common Multiple of 2901 and 2903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2901 and 2903 the smallest integer that is 8421603 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2903 is 8421603.

LCM(2901,2903) = 8421603

LCM of 2901 and 2903

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

LCM of:
and

Least Common Multiple of 2901 and 2903

LCM of 2901 and 2903 is 8421603

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2903. First we will calculate the prime factors of 2901 and 2903.

Prime Factorization of 2901


3 2901
967 967
1

Prime factors of 2901 are 3,967. Prime factorization of 2901 in exponential form is:

2901 = 31×9671

Prime Factorization of 2903


2903 2903
1

Prime factors of 2903 are 2903. Prime factorization of 2903 in exponential form is:

2903 = 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 2901 and 2903.

LCM(2901,2903) = 31×9671×29031
LCM(2901,2903) = 8421603

Factors of 2901

List of positive integer factors of 2901 that divides 2901 without a remainder.

1, 3, 967, 2901

Factors of 2903

List of positive integer factors of 2903 that divides 2903 without a remainder.

1, 2903

Least Common Multiple of 2901 and 2903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2901 and 2903, than apply into the LCM equation.

GCF(2901,2903) = 1
LCM(2901,2903) = ( 2901 × 2903) / 1
LCM(2901,2903) = 8421603 / 1
LCM(2901,2903) = 8421603

Properties of LCM 2901 and 2903

(i) The LCM of 2903 and 2901 is associative

LCM of 2901 and 2903 = LCM of 2903 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2903

Frequently Asked Questions on LCM of 2901 and 2903

1. What is the LCM of 2901 and 2903?

Answer: LCM of 2901 and 2903 is 8421603.

2. What are the Factors of 2901?

Answer: Factors of 2901 are 1, 3, 967, 2901. There are 4 integers that are factors of 2901. The greatest factor of 2901 is 2901.

3. What are the Factors of 2903?

Answer: Factors of 2903 are 1, 2903. There are 2 integers that are factors of 2903. The greatest factor of 2903 is 2903.

4. How to Find the LCM of 2901 and 2903?

Answer:

Least Common Multiple of 2901 and 2903 = 8421603

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

Step 2: Find the prime factorization of 2903

2903 = 2903

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

LCM = 8421603 = 3 x 967 x 2903

Step 4: Therefore, the least common multiple of 2901 and 2903 is 8421603.