Least Common Multiple of 2901 and 2902

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 2902 the smallest integer that is 8418702 that is divisible by both numbers.

Least Common Multiple (LCM) of 2901 and 2902 is 8418702.

LCM(2901,2902) = 8418702

LCM of 2901 and 2902

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

LCM of:
and

Least Common Multiple of 2901 and 2902

LCM of 2901 and 2902 is 8418702

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2902. First we will calculate the prime factors of 2901 and 2902.

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 2902


2 2902
1451 1451
1

Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:

2902 = 21×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 2901 and 2902.

LCM(2901,2902) = 21×31×9671×14511
LCM(2901,2902) = 8418702

Factors of 2901

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

1, 3, 967, 2901

Factors of 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1, 2, 1451, 2902

Least Common Multiple of 2901 and 2902 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 2902, than apply into the LCM equation.

GCF(2901,2902) = 1
LCM(2901,2902) = ( 2901 × 2902) / 1
LCM(2901,2902) = 8418702 / 1
LCM(2901,2902) = 8418702

Properties of LCM 2901 and 2902

(i) The LCM of 2902 and 2901 is associative

LCM of 2901 and 2902 = LCM of 2902 and 2901

Related Least Common Multiples of 2901

Related Least Common Multiples of 2902

Frequently Asked Questions on LCM of 2901 and 2902

1. What is the LCM of 2901 and 2902?

Answer: LCM of 2901 and 2902 is 8418702.

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 2902?

Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.

4. How to Find the LCM of 2901 and 2902?

Answer:

Least Common Multiple of 2901 and 2902 = 8418702

Step 1: Find the prime factorization of 2901

2901 = 3 x 967

Step 2: Find the prime factorization of 2902

2902 = 2 x 1451

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

LCM = 8418702 = 2 x 3 x 967 x 1451

Step 4: Therefore, the least common multiple of 2901 and 2902 is 8418702.