Least Common Multiple of 2606 and 2613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2606 and 2613 the smallest integer that is 6809478 that is divisible by both numbers.

Least Common Multiple (LCM) of 2606 and 2613 is 6809478.

LCM(2606,2613) = 6809478

LCM of 2606 and 2613

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

LCM of:
and

Least Common Multiple of 2606 and 2613

LCM of 2606 and 2613 is 6809478

Least common multiple can be found by multiplying the highest exponent prime factors of 2606 and 2613. First we will calculate the prime factors of 2606 and 2613.

Prime Factorization of 2606


2 2606
1303 1303
1

Prime factors of 2606 are 2,1303. Prime factorization of 2606 in exponential form is:

2606 = 21×13031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2606 and 2613.

LCM(2606,2613) = 21×31×131×671×13031
LCM(2606,2613) = 6809478

Factors of 2606

List of positive integer factors of 2606 that divides 2606 without a remainder.

1, 2, 1303, 2606

Factors of 2613

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

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

Least Common Multiple of 2606 and 2613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2606 and 2613, than apply into the LCM equation.

GCF(2606,2613) = 1
LCM(2606,2613) = ( 2606 × 2613) / 1
LCM(2606,2613) = 6809478 / 1
LCM(2606,2613) = 6809478

Properties of LCM 2606 and 2613

(i) The LCM of 2613 and 2606 is associative

LCM of 2606 and 2613 = LCM of 2613 and 2606

Related Least Common Multiples of 2606

Related Least Common Multiples of 2613

Frequently Asked Questions on LCM of 2606 and 2613

1. What is the LCM of 2606 and 2613?

Answer: LCM of 2606 and 2613 is 6809478.

2. What are the Factors of 2606?

Answer: Factors of 2606 are 1, 2, 1303, 2606. There are 4 integers that are factors of 2606. The greatest factor of 2606 is 2606.

3. 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.

4. How to Find the LCM of 2606 and 2613?

Answer:

Least Common Multiple of 2606 and 2613 = 6809478

Step 1: Find the prime factorization of 2606

2606 = 2 x 1303

Step 2: Find the prime factorization of 2613

2613 = 3 x 13 x 67

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

LCM = 6809478 = 2 x 3 x 13 x 67 x 1303

Step 4: Therefore, the least common multiple of 2606 and 2613 is 6809478.