Least Common Multiple of 2896 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 2896 and 2900 the smallest integer that is 2099600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2896 and 2900 is 2099600.

LCM(2896,2900) = 2099600

LCM of 2896 and 2900

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

LCM of:
and

Least Common Multiple of 2896 and 2900

LCM of 2896 and 2900 is 2099600

Least common multiple can be found by multiplying the highest exponent prime factors of 2896 and 2900. First we will calculate the prime factors of 2896 and 2900.

Prime Factorization of 2896


2 2896
2 1448
2 724
2 362
181 181
1

Prime factors of 2896 are 2,181. Prime factorization of 2896 in exponential form is:

2896 = 24×1811

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 2896 and 2900.

LCM(2896,2900) = 24×52×291×1811
LCM(2896,2900) = 2099600

Factors of 2896

List of positive integer factors of 2896 that divides 2896 without a remainder.

1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896

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 2896 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 2896 and 2900, than apply into the LCM equation.

GCF(2896,2900) = 4
LCM(2896,2900) = ( 2896 × 2900) / 4
LCM(2896,2900) = 8398400 / 4
LCM(2896,2900) = 2099600

Properties of LCM 2896 and 2900

(i) The LCM of 2900 and 2896 is associative

LCM of 2896 and 2900 = LCM of 2900 and 2896

Related Least Common Multiples of 2896

Related Least Common Multiples of 2900

Frequently Asked Questions on LCM of 2896 and 2900

1. What is the LCM of 2896 and 2900?

Answer: LCM of 2896 and 2900 is 2099600.

2. What are the Factors of 2896?

Answer: Factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896. There are 10 integers that are factors of 2896. The greatest factor of 2896 is 2896.

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 2896 and 2900?

Answer:

Least Common Multiple of 2896 and 2900 = 2099600

Step 1: Find the prime factorization of 2896

2896 = 2 x 2 x 2 x 2 x 181

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 = 2099600 = 2 x 2 x 2 x 2 x 5 x 5 x 29 x 181

Step 4: Therefore, the least common multiple of 2896 and 2900 is 2099600.