Least Common Multiple of 2610 and 2614

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 2614 the smallest integer that is 3411270 that is divisible by both numbers.

Least Common Multiple (LCM) of 2610 and 2614 is 3411270.

LCM(2610,2614) = 3411270

LCM of 2610 and 2614

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

LCM of:
and

Least Common Multiple of 2610 and 2614

LCM of 2610 and 2614 is 3411270

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2614. First we will calculate the prime factors of 2610 and 2614.

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 2614


2 2614
1307 1307
1

Prime factors of 2614 are 2,1307. Prime factorization of 2614 in exponential form is:

2614 = 21×13071

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2614.

LCM(2610,2614) = 21×32×51×291×13071
LCM(2610,2614) = 3411270

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 2614

List of positive integer factors of 2614 that divides 2614 without a remainder.

1, 2, 1307, 2614

Least Common Multiple of 2610 and 2614 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 2614, than apply into the LCM equation.

GCF(2610,2614) = 2
LCM(2610,2614) = ( 2610 × 2614) / 2
LCM(2610,2614) = 6822540 / 2
LCM(2610,2614) = 3411270

Properties of LCM 2610 and 2614

(i) The LCM of 2614 and 2610 is associative

LCM of 2610 and 2614 = LCM of 2614 and 2610

Related Least Common Multiples of 2610

Related Least Common Multiples of 2614

Frequently Asked Questions on LCM of 2610 and 2614

1. What is the LCM of 2610 and 2614?

Answer: LCM of 2610 and 2614 is 3411270.

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 2614?

Answer: Factors of 2614 are 1, 2, 1307, 2614. There are 4 integers that are factors of 2614. The greatest factor of 2614 is 2614.

4. How to Find the LCM of 2610 and 2614?

Answer:

Least Common Multiple of 2610 and 2614 = 3411270

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 2614

2614 = 2 x 1307

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

LCM = 3411270 = 2 x 3 x 3 x 5 x 29 x 1307

Step 4: Therefore, the least common multiple of 2610 and 2614 is 3411270.