Least Common Multiple of 2910 and 2915

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 2915 the smallest integer that is 1696530 that is divisible by both numbers.

Least Common Multiple (LCM) of 2910 and 2915 is 1696530.

LCM(2910,2915) = 1696530

LCM of 2910 and 2915

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

LCM of:
and

Least Common Multiple of 2910 and 2915

LCM of 2910 and 2915 is 1696530

Least common multiple can be found by multiplying the highest exponent prime factors of 2910 and 2915. First we will calculate the prime factors of 2910 and 2915.

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 2915


5 2915
11 583
53 53
1

Prime factors of 2915 are 5, 11,53. Prime factorization of 2915 in exponential form is:

2915 = 51×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2910 and 2915.

LCM(2910,2915) = 21×31×51×111×531×971
LCM(2910,2915) = 1696530

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 2915

List of positive integer factors of 2915 that divides 2915 without a remainder.

1, 5, 11, 53, 55, 265, 583, 2915

Least Common Multiple of 2910 and 2915 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 2915, than apply into the LCM equation.

GCF(2910,2915) = 5
LCM(2910,2915) = ( 2910 × 2915) / 5
LCM(2910,2915) = 8482650 / 5
LCM(2910,2915) = 1696530

Properties of LCM 2910 and 2915

(i) The LCM of 2915 and 2910 is associative

LCM of 2910 and 2915 = LCM of 2915 and 2910

Related Least Common Multiples of 2910

Related Least Common Multiples of 2915

Frequently Asked Questions on LCM of 2910 and 2915

1. What is the LCM of 2910 and 2915?

Answer: LCM of 2910 and 2915 is 1696530.

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 2915?

Answer: Factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915. There are 8 integers that are factors of 2915. The greatest factor of 2915 is 2915.

4. How to Find the LCM of 2910 and 2915?

Answer:

Least Common Multiple of 2910 and 2915 = 1696530

Step 1: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 2915

2915 = 5 x 11 x 53

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

LCM = 1696530 = 2 x 3 x 5 x 11 x 53 x 97

Step 4: Therefore, the least common multiple of 2910 and 2915 is 1696530.