Least Common Multiple of 2610 and 2615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2610 and 2615 the smallest integer that is 1365030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2610 and 2615 is 1365030.

LCM(2610,2615) = 1365030

LCM of 2610 and 2615

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

LCM of:
and

Least Common Multiple of 2610 and 2615

LCM of 2610 and 2615 is 1365030

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2615. First we will calculate the prime factors of 2610 and 2615.

Prime Factorization of 2610


2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 2610 are 2, 3, 5,29. Prime factorization of 2610 in exponential form is:

2610 = 21×32×51×291

Prime Factorization of 2615


5 2615
523 523
1

Prime factors of 2615 are 5,523. Prime factorization of 2615 in exponential form is:

2615 = 51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2615.

LCM(2610,2615) = 21×32×51×291×5231
LCM(2610,2615) = 1365030

Factors of 2610

List of positive integer factors of 2610 that divides 2610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610

Factors of 2615

List of positive integer factors of 2615 that divides 2615 without a remainder.

1, 5, 523, 2615

Least Common Multiple of 2610 and 2615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2610 and 2615, than apply into the LCM equation.

GCF(2610,2615) = 5
LCM(2610,2615) = ( 2610 × 2615) / 5
LCM(2610,2615) = 6825150 / 5
LCM(2610,2615) = 1365030

Properties of LCM 2610 and 2615

(i) The LCM of 2615 and 2610 is associative

LCM of 2610 and 2615 = LCM of 2615 and 2610

Related Least Common Multiples of 2610

Related Least Common Multiples of 2615

Frequently Asked Questions on LCM of 2610 and 2615

1. What is the LCM of 2610 and 2615?

Answer: LCM of 2610 and 2615 is 1365030.

2. What are the Factors of 2610?

Answer: Factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610. There are 24 integers that are factors of 2610. The greatest factor of 2610 is 2610.

3. What are the Factors of 2615?

Answer: Factors of 2615 are 1, 5, 523, 2615. There are 4 integers that are factors of 2615. The greatest factor of 2615 is 2615.

4. How to Find the LCM of 2610 and 2615?

Answer:

Least Common Multiple of 2610 and 2615 = 1365030

Step 1: Find the prime factorization of 2610

2610 = 2 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 2615

2615 = 5 x 523

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

LCM = 1365030 = 2 x 3 x 3 x 5 x 29 x 523

Step 4: Therefore, the least common multiple of 2610 and 2615 is 1365030.