Least Common Multiple of 2915 and 2920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2915 and 2920 the smallest integer that is 1702360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2915 and 2920 is 1702360.

LCM(2915,2920) = 1702360

LCM of 2915 and 2920

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

LCM of:
and

Least Common Multiple of 2915 and 2920

LCM of 2915 and 2920 is 1702360

Least common multiple can be found by multiplying the highest exponent prime factors of 2915 and 2920. First we will calculate the prime factors of 2915 and 2920.

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

Prime Factorization of 2920


2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 2920 are 2, 5,73. Prime factorization of 2920 in exponential form is:

2920 = 23×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2915 and 2920.

LCM(2915,2920) = 23×51×111×531×731
LCM(2915,2920) = 1702360

Factors of 2915

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

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

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920

Least Common Multiple of 2915 and 2920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2915 and 2920, than apply into the LCM equation.

GCF(2915,2920) = 5
LCM(2915,2920) = ( 2915 × 2920) / 5
LCM(2915,2920) = 8511800 / 5
LCM(2915,2920) = 1702360

Properties of LCM 2915 and 2920

(i) The LCM of 2920 and 2915 is associative

LCM of 2915 and 2920 = LCM of 2920 and 2915

Related Least Common Multiples of 2915

Related Least Common Multiples of 2920

Frequently Asked Questions on LCM of 2915 and 2920

1. What is the LCM of 2915 and 2920?

Answer: LCM of 2915 and 2920 is 1702360.

2. 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.

3. What are the Factors of 2920?

Answer: Factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920. There are 16 integers that are factors of 2920. The greatest factor of 2920 is 2920.

4. How to Find the LCM of 2915 and 2920?

Answer:

Least Common Multiple of 2915 and 2920 = 1702360

Step 1: Find the prime factorization of 2915

2915 = 5 x 11 x 53

Step 2: Find the prime factorization of 2920

2920 = 2 x 2 x 2 x 5 x 73

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

LCM = 1702360 = 2 x 2 x 2 x 5 x 11 x 53 x 73

Step 4: Therefore, the least common multiple of 2915 and 2920 is 1702360.