Least Common Multiple of 2904 and 2909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2904 and 2909 the smallest integer that is 8447736 that is divisible by both numbers.

Least Common Multiple (LCM) of 2904 and 2909 is 8447736.

LCM(2904,2909) = 8447736

LCM of 2904 and 2909

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

LCM of:
and

Least Common Multiple of 2904 and 2909

LCM of 2904 and 2909 is 8447736

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2909. First we will calculate the prime factors of 2904 and 2909.

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

Prime Factorization of 2909


2909 2909
1

Prime factors of 2909 are 2909. Prime factorization of 2909 in exponential form is:

2909 = 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2909.

LCM(2904,2909) = 23×31×112×29091
LCM(2904,2909) = 8447736

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

Factors of 2909

List of positive integer factors of 2909 that divides 2909 without a remainder.

1, 2909

Least Common Multiple of 2904 and 2909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2904 and 2909, than apply into the LCM equation.

GCF(2904,2909) = 1
LCM(2904,2909) = ( 2904 × 2909) / 1
LCM(2904,2909) = 8447736 / 1
LCM(2904,2909) = 8447736

Properties of LCM 2904 and 2909

(i) The LCM of 2909 and 2904 is associative

LCM of 2904 and 2909 = LCM of 2909 and 2904

Related Least Common Multiples of 2904

Related Least Common Multiples of 2909

Frequently Asked Questions on LCM of 2904 and 2909

1. What is the LCM of 2904 and 2909?

Answer: LCM of 2904 and 2909 is 8447736.

2. 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.

3. What are the Factors of 2909?

Answer: Factors of 2909 are 1, 2909. There are 2 integers that are factors of 2909. The greatest factor of 2909 is 2909.

4. How to Find the LCM of 2904 and 2909?

Answer:

Least Common Multiple of 2904 and 2909 = 8447736

Step 1: Find the prime factorization of 2904

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

Step 2: Find the prime factorization of 2909

2909 = 2909

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

LCM = 8447736 = 2 x 2 x 2 x 3 x 11 x 11 x 2909

Step 4: Therefore, the least common multiple of 2904 and 2909 is 8447736.