Least Common Multiple of 2899 and 2900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2899 and 2900 the smallest integer that is 8407100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2899 and 2900 is 8407100.

LCM(2899,2900) = 8407100

LCM of 2899 and 2900

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

LCM of:
and

Least Common Multiple of 2899 and 2900

LCM of 2899 and 2900 is 8407100

Least common multiple can be found by multiplying the highest exponent prime factors of 2899 and 2900. First we will calculate the prime factors of 2899 and 2900.

Prime Factorization of 2899


13 2899
223 223
1

Prime factors of 2899 are 13,223. Prime factorization of 2899 in exponential form is:

2899 = 131×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2899 and 2900.

LCM(2899,2900) = 22×52×131×291×2231
LCM(2899,2900) = 8407100

Factors of 2899

List of positive integer factors of 2899 that divides 2899 without a remainder.

1, 13, 223, 2899

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

Least Common Multiple of 2899 and 2900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2899 and 2900, than apply into the LCM equation.

GCF(2899,2900) = 1
LCM(2899,2900) = ( 2899 × 2900) / 1
LCM(2899,2900) = 8407100 / 1
LCM(2899,2900) = 8407100

Properties of LCM 2899 and 2900

(i) The LCM of 2900 and 2899 is associative

LCM of 2899 and 2900 = LCM of 2900 and 2899

Related Least Common Multiples of 2899

Related Least Common Multiples of 2900

Frequently Asked Questions on LCM of 2899 and 2900

1. What is the LCM of 2899 and 2900?

Answer: LCM of 2899 and 2900 is 8407100.

2. What are the Factors of 2899?

Answer: Factors of 2899 are 1, 13, 223, 2899. There are 4 integers that are factors of 2899. The greatest factor of 2899 is 2899.

3. 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.

4. How to Find the LCM of 2899 and 2900?

Answer:

Least Common Multiple of 2899 and 2900 = 8407100

Step 1: Find the prime factorization of 2899

2899 = 13 x 223

Step 2: Find the prime factorization of 2900

2900 = 2 x 2 x 5 x 5 x 29

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

LCM = 8407100 = 2 x 2 x 5 x 5 x 13 x 29 x 223

Step 4: Therefore, the least common multiple of 2899 and 2900 is 8407100.