Least Common Multiple of 2900 and 2904

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 2904 the smallest integer that is 2105400 that is divisible by both numbers.

Least Common Multiple (LCM) of 2900 and 2904 is 2105400.

LCM(2900,2904) = 2105400

LCM of 2900 and 2904

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

LCM of:
and

Least Common Multiple of 2900 and 2904

LCM of 2900 and 2904 is 2105400

Least common multiple can be found by multiplying the highest exponent prime factors of 2900 and 2904. First we will calculate the prime factors of 2900 and 2904.

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 2904


2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 2904 are 2, 3,11. Prime factorization of 2904 in exponential form is:

2904 = 23×31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2900 and 2904.

LCM(2900,2904) = 23×31×52×112×291
LCM(2900,2904) = 2105400

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 2904

List of positive integer factors of 2904 that divides 2904 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904

Least Common Multiple of 2900 and 2904 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 2904, than apply into the LCM equation.

GCF(2900,2904) = 4
LCM(2900,2904) = ( 2900 × 2904) / 4
LCM(2900,2904) = 8421600 / 4
LCM(2900,2904) = 2105400

Properties of LCM 2900 and 2904

(i) The LCM of 2904 and 2900 is associative

LCM of 2900 and 2904 = LCM of 2904 and 2900

Related Least Common Multiples of 2900

Related Least Common Multiples of 2904

Frequently Asked Questions on LCM of 2900 and 2904

1. What is the LCM of 2900 and 2904?

Answer: LCM of 2900 and 2904 is 2105400.

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 2904?

Answer: Factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904. There are 24 integers that are factors of 2904. The greatest factor of 2904 is 2904.

4. How to Find the LCM of 2900 and 2904?

Answer:

Least Common Multiple of 2900 and 2904 = 2105400

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 2904

2904 = 2 x 2 x 2 x 3 x 11 x 11

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

LCM = 2105400 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11 x 29

Step 4: Therefore, the least common multiple of 2900 and 2904 is 2105400.