Least Common Multiple of 2900 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 2900 and 2903 the smallest integer that is 8418700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2903 is 8418700.

LCM(2900,2903) = 8418700

LCM of 2900 and 2903

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

LCM of:
and

Least Common Multiple of 2900 and 2903

LCM of 2900 and 2903 is 8418700

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2903. First we will calculate the prime factors of 2900 and 2903.

Prime Factorization of 2900


2 2900
2 1450
5 725
5 145
29 29
1

Prime factors of 2900 are 2, 5,29. Prime factorization of 2900 in exponential form is:

2900 = 22×52×291

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 2900 and 2903.

LCM(2900,2903) = 22×52×291×29031
LCM(2900,2903) = 8418700

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900

Factors of 2903

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

1, 2903

Least Common Multiple of 2900 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 2900 and 2903, than apply into the LCM equation.

GCF(2900,2903) = 1
LCM(2900,2903) = ( 2900 × 2903) / 1
LCM(2900,2903) = 8418700 / 1
LCM(2900,2903) = 8418700

Properties of LCM 2900 and 2903

(i) The LCM of 2903 and 2900 is associative

LCM of 2900 and 2903 = LCM of 2903 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2903

Frequently Asked Questions on LCM of 2900 and 2903

1. What is the LCM of 2900 and 2903?

Answer: LCM of 2900 and 2903 is 8418700.

2. What are the Factors of 2900?

Answer: Factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900. There are 18 integers that are factors of 2900. The greatest factor of 2900 is 2900.

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 2900 and 2903?

Answer:

Least Common Multiple of 2900 and 2903 = 8418700

Step 1: Find the prime factorization of 2900

2900 = 2 x 2 x 5 x 5 x 29

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 = 8418700 = 2 x 2 x 5 x 5 x 29 x 2903

Step 4: Therefore, the least common multiple of 2900 and 2903 is 8418700.