Least Common Multiple of 2904 and 2911

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 2911 the smallest integer that is 8453544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2904 and 2911 is 8453544.

LCM(2904,2911) = 8453544

LCM of 2904 and 2911

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

LCM of:
and

Least Common Multiple of 2904 and 2911

LCM of 2904 and 2911 is 8453544

Least common multiple can be found by multiplying the highest exponent prime factors of 2904 and 2911. First we will calculate the prime factors of 2904 and 2911.

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 2911


41 2911
71 71
1

Prime factors of 2911 are 41,71. Prime factorization of 2911 in exponential form is:

2911 = 411×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2904 and 2911.

LCM(2904,2911) = 23×31×112×411×711
LCM(2904,2911) = 8453544

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 2911

List of positive integer factors of 2911 that divides 2911 without a remainder.

1, 41, 71, 2911

Least Common Multiple of 2904 and 2911 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 2911, than apply into the LCM equation.

GCF(2904,2911) = 1
LCM(2904,2911) = ( 2904 × 2911) / 1
LCM(2904,2911) = 8453544 / 1
LCM(2904,2911) = 8453544

Properties of LCM 2904 and 2911

(i) The LCM of 2911 and 2904 is associative

LCM of 2904 and 2911 = LCM of 2911 and 2904

Related Least Common Multiples of 2904

Related Least Common Multiples of 2911

Frequently Asked Questions on LCM of 2904 and 2911

1. What is the LCM of 2904 and 2911?

Answer: LCM of 2904 and 2911 is 8453544.

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 2911?

Answer: Factors of 2911 are 1, 41, 71, 2911. There are 4 integers that are factors of 2911. The greatest factor of 2911 is 2911.

4. How to Find the LCM of 2904 and 2911?

Answer:

Least Common Multiple of 2904 and 2911 = 8453544

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 2911

2911 = 41 x 71

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

LCM = 8453544 = 2 x 2 x 2 x 3 x 11 x 11 x 41 x 71

Step 4: Therefore, the least common multiple of 2904 and 2911 is 8453544.