Least Common Multiple of 2904 and 2910

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 2910 the smallest integer that is 1408440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2904 and 2910 is 1408440.

LCM(2904,2910) = 1408440

LCM of 2904 and 2910

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

LCM of:
and

Least Common Multiple of 2904 and 2910

LCM of 2904 and 2910 is 1408440

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2910. First we will calculate the prime factors of 2904 and 2910.

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 2910


2 2910
3 1455
5 485
97 97
1

Prime factors of 2910 are 2, 3, 5,97. Prime factorization of 2910 in exponential form is:

2910 = 21×31×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2910.

LCM(2904,2910) = 23×31×51×112×971
LCM(2904,2910) = 1408440

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 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910

Least Common Multiple of 2904 and 2910 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 2910, than apply into the LCM equation.

GCF(2904,2910) = 6
LCM(2904,2910) = ( 2904 × 2910) / 6
LCM(2904,2910) = 8450640 / 6
LCM(2904,2910) = 1408440

Properties of LCM 2904 and 2910

(i) The LCM of 2910 and 2904 is associative

LCM of 2904 and 2910 = LCM of 2910 and 2904

Related Least Common Multiples of 2904

Related Least Common Multiples of 2910

Frequently Asked Questions on LCM of 2904 and 2910

1. What is the LCM of 2904 and 2910?

Answer: LCM of 2904 and 2910 is 1408440.

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 2910?

Answer: Factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910. There are 16 integers that are factors of 2910. The greatest factor of 2910 is 2910.

4. How to Find the LCM of 2904 and 2910?

Answer:

Least Common Multiple of 2904 and 2910 = 1408440

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 2910

2910 = 2 x 3 x 5 x 97

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

LCM = 1408440 = 2 x 2 x 2 x 3 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 2904 and 2910 is 1408440.