Least Common Multiple of 2610 and 2618

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 2618 the smallest integer that is 3416490 that is divisible by both numbers.

Least Common Multiple (LCM) of 2610 and 2618 is 3416490.

LCM(2610,2618) = 3416490

LCM of 2610 and 2618

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

LCM of:
and

Least Common Multiple of 2610 and 2618

LCM of 2610 and 2618 is 3416490

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2618. First we will calculate the prime factors of 2610 and 2618.

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 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2, 7, 11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2618.

LCM(2610,2618) = 21×32×51×71×111×171×291
LCM(2610,2618) = 3416490

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 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

Least Common Multiple of 2610 and 2618 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 2618, than apply into the LCM equation.

GCF(2610,2618) = 2
LCM(2610,2618) = ( 2610 × 2618) / 2
LCM(2610,2618) = 6832980 / 2
LCM(2610,2618) = 3416490

Properties of LCM 2610 and 2618

(i) The LCM of 2618 and 2610 is associative

LCM of 2610 and 2618 = LCM of 2618 and 2610

Related Least Common Multiples of 2610

Related Least Common Multiples of 2618

Frequently Asked Questions on LCM of 2610 and 2618

1. What is the LCM of 2610 and 2618?

Answer: LCM of 2610 and 2618 is 3416490.

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 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

4. How to Find the LCM of 2610 and 2618?

Answer:

Least Common Multiple of 2610 and 2618 = 3416490

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 2618

2618 = 2 x 7 x 11 x 17

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

LCM = 3416490 = 2 x 3 x 3 x 5 x 7 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 2610 and 2618 is 3416490.