Least Common Multiple of 2910 and 2918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2910 and 2918 the smallest integer that is 4245690 that is divisible by both numbers.

Least Common Multiple (LCM) of 2910 and 2918 is 4245690.

LCM(2910,2918) = 4245690

LCM of 2910 and 2918

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

LCM of:
and

Least Common Multiple of 2910 and 2918

LCM of 2910 and 2918 is 4245690

Least common multiple can be found by multiplying the highest exponent prime factors of 2910 and 2918. First we will calculate the prime factors of 2910 and 2918.

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

Prime Factorization of 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2918.

LCM(2910,2918) = 21×31×51×971×14591
LCM(2910,2918) = 4245690

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

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1, 2, 1459, 2918

Least Common Multiple of 2910 and 2918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2910 and 2918, than apply into the LCM equation.

GCF(2910,2918) = 2
LCM(2910,2918) = ( 2910 × 2918) / 2
LCM(2910,2918) = 8491380 / 2
LCM(2910,2918) = 4245690

Properties of LCM 2910 and 2918

(i) The LCM of 2918 and 2910 is associative

LCM of 2910 and 2918 = LCM of 2918 and 2910

Related Least Common Multiples of 2910

Related Least Common Multiples of 2918

Frequently Asked Questions on LCM of 2910 and 2918

1. What is the LCM of 2910 and 2918?

Answer: LCM of 2910 and 2918 is 4245690.

2. 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.

3. What are the Factors of 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

4. How to Find the LCM of 2910 and 2918?

Answer:

Least Common Multiple of 2910 and 2918 = 4245690

Step 1: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 2918

2918 = 2 x 1459

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

LCM = 4245690 = 2 x 3 x 5 x 97 x 1459

Step 4: Therefore, the least common multiple of 2910 and 2918 is 4245690.