Least Common Multiple of 2910 and 2916

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 2916 the smallest integer that is 1414260 that is divisible by both numbers.

Least Common Multiple (LCM) of 2910 and 2916 is 1414260.

LCM(2910,2916) = 1414260

LCM of 2910 and 2916

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

LCM of:
and

Least Common Multiple of 2910 and 2916

LCM of 2910 and 2916 is 1414260

Least common multiple can be found by multiplying the highest exponent prime factors of 2910 and 2916. First we will calculate the prime factors of 2910 and 2916.

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 2916


2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2916 are 2,3. Prime factorization of 2916 in exponential form is:

2916 = 22×36

Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2916.

LCM(2910,2916) = 22×36×51×971
LCM(2910,2916) = 1414260

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 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916

Least Common Multiple of 2910 and 2916 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 2916, than apply into the LCM equation.

GCF(2910,2916) = 6
LCM(2910,2916) = ( 2910 × 2916) / 6
LCM(2910,2916) = 8485560 / 6
LCM(2910,2916) = 1414260

Properties of LCM 2910 and 2916

(i) The LCM of 2916 and 2910 is associative

LCM of 2910 and 2916 = LCM of 2916 and 2910

Related Least Common Multiples of 2910

Related Least Common Multiples of 2916

Frequently Asked Questions on LCM of 2910 and 2916

1. What is the LCM of 2910 and 2916?

Answer: LCM of 2910 and 2916 is 1414260.

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 2916?

Answer: Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. There are 21 integers that are factors of 2916. The greatest factor of 2916 is 2916.

4. How to Find the LCM of 2910 and 2916?

Answer:

Least Common Multiple of 2910 and 2916 = 1414260

Step 1: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 2916

2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 1414260 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 97

Step 4: Therefore, the least common multiple of 2910 and 2916 is 1414260.