Least Common Multiple of 2900 and 2902

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 2902 the smallest integer that is 4207900 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2902 is 4207900.

LCM(2900,2902) = 4207900

LCM of 2900 and 2902

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

LCM of:
and

Least Common Multiple of 2900 and 2902

LCM of 2900 and 2902 is 4207900

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2902. First we will calculate the prime factors of 2900 and 2902.

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 2902


2 2902
1451 1451
1

Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:

2902 = 21×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2902.

LCM(2900,2902) = 22×52×291×14511
LCM(2900,2902) = 4207900

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 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1, 2, 1451, 2902

Least Common Multiple of 2900 and 2902 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 2902, than apply into the LCM equation.

GCF(2900,2902) = 2
LCM(2900,2902) = ( 2900 × 2902) / 2
LCM(2900,2902) = 8415800 / 2
LCM(2900,2902) = 4207900

Properties of LCM 2900 and 2902

(i) The LCM of 2902 and 2900 is associative

LCM of 2900 and 2902 = LCM of 2902 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2902

Frequently Asked Questions on LCM of 2900 and 2902

1. What is the LCM of 2900 and 2902?

Answer: LCM of 2900 and 2902 is 4207900.

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 2902?

Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.

4. How to Find the LCM of 2900 and 2902?

Answer:

Least Common Multiple of 2900 and 2902 = 4207900

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 2902

2902 = 2 x 1451

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

LCM = 4207900 = 2 x 2 x 5 x 5 x 29 x 1451

Step 4: Therefore, the least common multiple of 2900 and 2902 is 4207900.