Least Common Multiple of 2613 and 2619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2613 and 2619 the smallest integer that is 2281149 that is divisible by both numbers.

Least Common Multiple (LCM) of 2613 and 2619 is 2281149.

LCM(2613,2619) = 2281149

LCM of 2613 and 2619

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

LCM of:
and

Least Common Multiple of 2613 and 2619

LCM of 2613 and 2619 is 2281149

Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2619. First we will calculate the prime factors of 2613 and 2619.

Prime Factorization of 2613


3 2613
13 871
67 67
1

Prime factors of 2613 are 3, 13,67. Prime factorization of 2613 in exponential form is:

2613 = 31×131×671

Prime Factorization of 2619


3 2619
3 873
3 291
97 97
1

Prime factors of 2619 are 3,97. Prime factorization of 2619 in exponential form is:

2619 = 33×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2619.

LCM(2613,2619) = 33×131×671×971
LCM(2613,2619) = 2281149

Factors of 2613

List of positive integer factors of 2613 that divides 2613 without a remainder.

1, 3, 13, 39, 67, 201, 871, 2613

Factors of 2619

List of positive integer factors of 2619 that divides 2619 without a remainder.

1, 3, 9, 27, 97, 291, 873, 2619

Least Common Multiple of 2613 and 2619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2619, than apply into the LCM equation.

GCF(2613,2619) = 3
LCM(2613,2619) = ( 2613 × 2619) / 3
LCM(2613,2619) = 6843447 / 3
LCM(2613,2619) = 2281149

Properties of LCM 2613 and 2619

(i) The LCM of 2619 and 2613 is associative

LCM of 2613 and 2619 = LCM of 2619 and 2613

Related Least Common Multiples of 2613

Related Least Common Multiples of 2619

Frequently Asked Questions on LCM of 2613 and 2619

1. What is the LCM of 2613 and 2619?

Answer: LCM of 2613 and 2619 is 2281149.

2. What are the Factors of 2613?

Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.

3. What are the Factors of 2619?

Answer: Factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619. There are 8 integers that are factors of 2619. The greatest factor of 2619 is 2619.

4. How to Find the LCM of 2613 and 2619?

Answer:

Least Common Multiple of 2613 and 2619 = 2281149

Step 1: Find the prime factorization of 2613

2613 = 3 x 13 x 67

Step 2: Find the prime factorization of 2619

2619 = 3 x 3 x 3 x 97

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

LCM = 2281149 = 3 x 3 x 3 x 13 x 67 x 97

Step 4: Therefore, the least common multiple of 2613 and 2619 is 2281149.