Least Common Multiple of 2900 and 2908

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 2908 the smallest integer that is 2108300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2908 is 2108300.

LCM(2900,2908) = 2108300

LCM of 2900 and 2908

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

LCM of:
and

Least Common Multiple of 2900 and 2908

LCM of 2900 and 2908 is 2108300

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2908. First we will calculate the prime factors of 2900 and 2908.

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 2908


2 2908
2 1454
727 727
1

Prime factors of 2908 are 2,727. Prime factorization of 2908 in exponential form is:

2908 = 22×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2908.

LCM(2900,2908) = 22×52×291×7271
LCM(2900,2908) = 2108300

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 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1, 2, 4, 727, 1454, 2908

Least Common Multiple of 2900 and 2908 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 2908, than apply into the LCM equation.

GCF(2900,2908) = 4
LCM(2900,2908) = ( 2900 × 2908) / 4
LCM(2900,2908) = 8433200 / 4
LCM(2900,2908) = 2108300

Properties of LCM 2900 and 2908

(i) The LCM of 2908 and 2900 is associative

LCM of 2900 and 2908 = LCM of 2908 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2908

Frequently Asked Questions on LCM of 2900 and 2908

1. What is the LCM of 2900 and 2908?

Answer: LCM of 2900 and 2908 is 2108300.

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 2908?

Answer: Factors of 2908 are 1, 2, 4, 727, 1454, 2908. There are 6 integers that are factors of 2908. The greatest factor of 2908 is 2908.

4. How to Find the LCM of 2900 and 2908?

Answer:

Least Common Multiple of 2900 and 2908 = 2108300

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 2908

2908 = 2 x 2 x 727

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

LCM = 2108300 = 2 x 2 x 5 x 5 x 29 x 727

Step 4: Therefore, the least common multiple of 2900 and 2908 is 2108300.