Least Common Multiple of 2901 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 2901 and 2904 the smallest integer that is 2808168 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2904 is 2808168.

LCM(2901,2904) = 2808168

LCM of 2901 and 2904

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

LCM of:
and

Least Common Multiple of 2901 and 2904

LCM of 2901 and 2904 is 2808168

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2904. First we will calculate the prime factors of 2901 and 2904.

Prime Factorization of 2901


3 2901
967 967
1

Prime factors of 2901 are 3,967. Prime factorization of 2901 in exponential form is:

2901 = 31×9671

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 2901 and 2904.

LCM(2901,2904) = 23×31×112×9671
LCM(2901,2904) = 2808168

Factors of 2901

List of positive integer factors of 2901 that divides 2901 without a remainder.

1, 3, 967, 2901

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 2901 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 2901 and 2904, than apply into the LCM equation.

GCF(2901,2904) = 3
LCM(2901,2904) = ( 2901 × 2904) / 3
LCM(2901,2904) = 8424504 / 3
LCM(2901,2904) = 2808168

Properties of LCM 2901 and 2904

(i) The LCM of 2904 and 2901 is associative

LCM of 2901 and 2904 = LCM of 2904 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2904

Frequently Asked Questions on LCM of 2901 and 2904

1. What is the LCM of 2901 and 2904?

Answer: LCM of 2901 and 2904 is 2808168.

2. What are the Factors of 2901?

Answer: Factors of 2901 are 1, 3, 967, 2901. There are 4 integers that are factors of 2901. The greatest factor of 2901 is 2901.

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 2901 and 2904?

Answer:

Least Common Multiple of 2901 and 2904 = 2808168

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

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 = 2808168 = 2 x 2 x 2 x 3 x 11 x 11 x 967

Step 4: Therefore, the least common multiple of 2901 and 2904 is 2808168.