Least Common Multiple of 2901 and 2905

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 2905 the smallest integer that is 8427405 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2905 is 8427405.

LCM(2901,2905) = 8427405

LCM of 2901 and 2905

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

LCM of:
and

Least Common Multiple of 2901 and 2905

LCM of 2901 and 2905 is 8427405

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2905. First we will calculate the prime factors of 2901 and 2905.

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 2905


5 2905
7 581
83 83
1

Prime factors of 2905 are 5, 7,83. Prime factorization of 2905 in exponential form is:

2905 = 51×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2901 and 2905.

LCM(2901,2905) = 31×51×71×831×9671
LCM(2901,2905) = 8427405

Factors of 2901

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

1, 3, 967, 2901

Factors of 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1, 5, 7, 35, 83, 415, 581, 2905

Least Common Multiple of 2901 and 2905 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 2905, than apply into the LCM equation.

GCF(2901,2905) = 1
LCM(2901,2905) = ( 2901 × 2905) / 1
LCM(2901,2905) = 8427405 / 1
LCM(2901,2905) = 8427405

Properties of LCM 2901 and 2905

(i) The LCM of 2905 and 2901 is associative

LCM of 2901 and 2905 = LCM of 2905 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2905

Frequently Asked Questions on LCM of 2901 and 2905

1. What is the LCM of 2901 and 2905?

Answer: LCM of 2901 and 2905 is 8427405.

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 2905?

Answer: Factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905. There are 8 integers that are factors of 2905. The greatest factor of 2905 is 2905.

4. How to Find the LCM of 2901 and 2905?

Answer:

Least Common Multiple of 2901 and 2905 = 8427405

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

Step 2: Find the prime factorization of 2905

2905 = 5 x 7 x 83

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

LCM = 8427405 = 3 x 5 x 7 x 83 x 967

Step 4: Therefore, the least common multiple of 2901 and 2905 is 8427405.