Least Common Multiple of 2904 and 2908

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 2908 the smallest integer that is 2111208 that is divisible by both numbers.

Least Common Multiple (LCM) of 2904 and 2908 is 2111208.

LCM(2904,2908) = 2111208

LCM of 2904 and 2908

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

LCM of:
and

Least Common Multiple of 2904 and 2908

LCM of 2904 and 2908 is 2111208

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2908. First we will calculate the prime factors of 2904 and 2908.

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 2908


2 2908
2 1454
727 727
1

Prime factors of 2908 are 2,727. Prime factorization of 2908 in exponential form is:

2908 = 22×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2908.

LCM(2904,2908) = 23×31×112×7271
LCM(2904,2908) = 2111208

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 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1, 2, 4, 727, 1454, 2908

Least Common Multiple of 2904 and 2908 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 2908, than apply into the LCM equation.

GCF(2904,2908) = 4
LCM(2904,2908) = ( 2904 × 2908) / 4
LCM(2904,2908) = 8444832 / 4
LCM(2904,2908) = 2111208

Properties of LCM 2904 and 2908

(i) The LCM of 2908 and 2904 is associative

LCM of 2904 and 2908 = LCM of 2908 and 2904

Related Least Common Multiples of 2904

Related Least Common Multiples of 2908

Frequently Asked Questions on LCM of 2904 and 2908

1. What is the LCM of 2904 and 2908?

Answer: LCM of 2904 and 2908 is 2111208.

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 2908?

Answer: Factors of 2908 are 1, 2, 4, 727, 1454, 2908. There are 6 integers that are factors of 2908. The greatest factor of 2908 is 2908.

4. How to Find the LCM of 2904 and 2908?

Answer:

Least Common Multiple of 2904 and 2908 = 2111208

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 2908

2908 = 2 x 2 x 727

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

LCM = 2111208 = 2 x 2 x 2 x 3 x 11 x 11 x 727

Step 4: Therefore, the least common multiple of 2904 and 2908 is 2111208.