Least Common Multiple of 2901 and 2907

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 2907 the smallest integer that is 2811069 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2907 is 2811069.

LCM(2901,2907) = 2811069

LCM of 2901 and 2907

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

LCM of:
and

Least Common Multiple of 2901 and 2907

LCM of 2901 and 2907 is 2811069

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2907. First we will calculate the prime factors of 2901 and 2907.

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 2907


3 2907
3 969
17 323
19 19
1

Prime factors of 2907 are 3, 17,19. Prime factorization of 2907 in exponential form is:

2907 = 32×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2901 and 2907.

LCM(2901,2907) = 32×171×191×9671
LCM(2901,2907) = 2811069

Factors of 2901

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

1, 3, 967, 2901

Factors of 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907

Least Common Multiple of 2901 and 2907 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 2907, than apply into the LCM equation.

GCF(2901,2907) = 3
LCM(2901,2907) = ( 2901 × 2907) / 3
LCM(2901,2907) = 8433207 / 3
LCM(2901,2907) = 2811069

Properties of LCM 2901 and 2907

(i) The LCM of 2907 and 2901 is associative

LCM of 2901 and 2907 = LCM of 2907 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2907

Frequently Asked Questions on LCM of 2901 and 2907

1. What is the LCM of 2901 and 2907?

Answer: LCM of 2901 and 2907 is 2811069.

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 2907?

Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.

4. How to Find the LCM of 2901 and 2907?

Answer:

Least Common Multiple of 2901 and 2907 = 2811069

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

Step 2: Find the prime factorization of 2907

2907 = 3 x 3 x 17 x 19

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

LCM = 2811069 = 3 x 3 x 17 x 19 x 967

Step 4: Therefore, the least common multiple of 2901 and 2907 is 2811069.