Least Common Multiple of 2910 and 2917

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 2917 the smallest integer that is 8488470 that is divisible by both numbers.

Least Common Multiple (LCM) of 2910 and 2917 is 8488470.

LCM(2910,2917) = 8488470

LCM of 2910 and 2917

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

LCM of:
and

Least Common Multiple of 2910 and 2917

LCM of 2910 and 2917 is 8488470

Least common multiple can be found by multiplying the highest exponent prime factors of 2910 and 2917. First we will calculate the prime factors of 2910 and 2917.

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 2917


2917 2917
1

Prime factors of 2917 are 2917. Prime factorization of 2917 in exponential form is:

2917 = 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2917.

LCM(2910,2917) = 21×31×51×971×29171
LCM(2910,2917) = 8488470

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 2917

List of positive integer factors of 2917 that divides 2917 without a remainder.

1, 2917

Least Common Multiple of 2910 and 2917 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 2917, than apply into the LCM equation.

GCF(2910,2917) = 1
LCM(2910,2917) = ( 2910 × 2917) / 1
LCM(2910,2917) = 8488470 / 1
LCM(2910,2917) = 8488470

Properties of LCM 2910 and 2917

(i) The LCM of 2917 and 2910 is associative

LCM of 2910 and 2917 = LCM of 2917 and 2910

Related Least Common Multiples of 2910

Related Least Common Multiples of 2917

Frequently Asked Questions on LCM of 2910 and 2917

1. What is the LCM of 2910 and 2917?

Answer: LCM of 2910 and 2917 is 8488470.

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 2917?

Answer: Factors of 2917 are 1, 2917. There are 2 integers that are factors of 2917. The greatest factor of 2917 is 2917.

4. How to Find the LCM of 2910 and 2917?

Answer:

Least Common Multiple of 2910 and 2917 = 8488470

Step 1: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 2917

2917 = 2917

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

LCM = 8488470 = 2 x 3 x 5 x 97 x 2917

Step 4: Therefore, the least common multiple of 2910 and 2917 is 8488470.