Least Common Multiple of 2901 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 2901 and 2908 the smallest integer that is 8436108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2908 is 8436108.

LCM(2901,2908) = 8436108

LCM of 2901 and 2908

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

LCM of:
and

Least Common Multiple of 2901 and 2908

LCM of 2901 and 2908 is 8436108

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2908. First we will calculate the prime factors of 2901 and 2908.

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 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 2901 and 2908.

LCM(2901,2908) = 22×31×7271×9671
LCM(2901,2908) = 8436108

Factors of 2901

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

1, 3, 967, 2901

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 2901 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 2901 and 2908, than apply into the LCM equation.

GCF(2901,2908) = 1
LCM(2901,2908) = ( 2901 × 2908) / 1
LCM(2901,2908) = 8436108 / 1
LCM(2901,2908) = 8436108

Properties of LCM 2901 and 2908

(i) The LCM of 2908 and 2901 is associative

LCM of 2901 and 2908 = LCM of 2908 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2908

Frequently Asked Questions on LCM of 2901 and 2908

1. What is the LCM of 2901 and 2908?

Answer: LCM of 2901 and 2908 is 8436108.

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 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 2901 and 2908?

Answer:

Least Common Multiple of 2901 and 2908 = 8436108

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

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 = 8436108 = 2 x 2 x 3 x 727 x 967

Step 4: Therefore, the least common multiple of 2901 and 2908 is 8436108.