Least Common Multiple of 2902 and 2910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2902 and 2910 the smallest integer that is 4222410 that is divisible by both numbers.

Least Common Multiple (LCM) of 2902 and 2910 is 4222410.

LCM(2902,2910) = 4222410

LCM of 2902 and 2910

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

LCM of:
and

Least Common Multiple of 2902 and 2910

LCM of 2902 and 2910 is 4222410

Least common multiple can be found by multiplying the highest exponent prime factors of 2902 and 2910. First we will calculate the prime factors of 2902 and 2910.

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

Prime Factorization of 2910


2 2910
3 1455
5 485
97 97
1

Prime factors of 2910 are 2, 3, 5,97. Prime factorization of 2910 in exponential form is:

2910 = 21×31×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2902 and 2910.

LCM(2902,2910) = 21×31×51×971×14511
LCM(2902,2910) = 4222410

Factors of 2902

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

1, 2, 1451, 2902

Factors of 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910

Least Common Multiple of 2902 and 2910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2902 and 2910, than apply into the LCM equation.

GCF(2902,2910) = 2
LCM(2902,2910) = ( 2902 × 2910) / 2
LCM(2902,2910) = 8444820 / 2
LCM(2902,2910) = 4222410

Properties of LCM 2902 and 2910

(i) The LCM of 2910 and 2902 is associative

LCM of 2902 and 2910 = LCM of 2910 and 2902

Related Least Common Multiples of 2902

Related Least Common Multiples of 2910

Frequently Asked Questions on LCM of 2902 and 2910

1. What is the LCM of 2902 and 2910?

Answer: LCM of 2902 and 2910 is 4222410.

2. 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.

3. What are the Factors of 2910?

Answer: Factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910. There are 16 integers that are factors of 2910. The greatest factor of 2910 is 2910.

4. How to Find the LCM of 2902 and 2910?

Answer:

Least Common Multiple of 2902 and 2910 = 4222410

Step 1: Find the prime factorization of 2902

2902 = 2 x 1451

Step 2: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

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

LCM = 4222410 = 2 x 3 x 5 x 97 x 1451

Step 4: Therefore, the least common multiple of 2902 and 2910 is 4222410.