Least Common Multiple of 2608 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 2608 and 2613 the smallest integer that is 6814704 that is divisible by both numbers.

Least Common Multiple (LCM) of 2608 and 2613 is 6814704.

LCM(2608,2613) = 6814704

LCM of 2608 and 2613

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

LCM of:
and

Least Common Multiple of 2608 and 2613

LCM of 2608 and 2613 is 6814704

Least common multiple can be found by multiplying the highest exponent prime factors of 2608 and 2613. First we will calculate the prime factors of 2608 and 2613.

Prime Factorization of 2608


2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 2608 are 2,163. Prime factorization of 2608 in exponential form is:

2608 = 24×1631

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 2608 and 2613.

LCM(2608,2613) = 24×31×131×671×1631
LCM(2608,2613) = 6814704

Factors of 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608

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 2608 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 2608 and 2613, than apply into the LCM equation.

GCF(2608,2613) = 1
LCM(2608,2613) = ( 2608 × 2613) / 1
LCM(2608,2613) = 6814704 / 1
LCM(2608,2613) = 6814704

Properties of LCM 2608 and 2613

(i) The LCM of 2613 and 2608 is associative

LCM of 2608 and 2613 = LCM of 2613 and 2608

Related Least Common Multiples of 2608

Related Least Common Multiples of 2613

Frequently Asked Questions on LCM of 2608 and 2613

1. What is the LCM of 2608 and 2613?

Answer: LCM of 2608 and 2613 is 6814704.

2. What are the Factors of 2608?

Answer: Factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608. There are 10 integers that are factors of 2608. The greatest factor of 2608 is 2608.

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 2608 and 2613?

Answer:

Least Common Multiple of 2608 and 2613 = 6814704

Step 1: Find the prime factorization of 2608

2608 = 2 x 2 x 2 x 2 x 163

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 = 6814704 = 2 x 2 x 2 x 2 x 3 x 13 x 67 x 163

Step 4: Therefore, the least common multiple of 2608 and 2613 is 6814704.