Least Common Multiple of 7608 and 7613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7608 and 7613 the smallest integer that is 57919704 that is divisible by both numbers.

Least Common Multiple (LCM) of 7608 and 7613 is 57919704.

LCM(7608,7613) = 57919704

LCM of 7608 and 7613

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

LCM of:
and

Least Common Multiple of 7608 and 7613

LCM of 7608 and 7613 is 57919704

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7613. First we will calculate the prime factors of 7608 and 7613.

Prime Factorization of 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2, 3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

Prime Factorization of 7613


23 7613
331 331
1

Prime factors of 7613 are 23,331. Prime factorization of 7613 in exponential form is:

7613 = 231×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7613.

LCM(7608,7613) = 23×31×231×3171×3311
LCM(7608,7613) = 57919704

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608

Factors of 7613

List of positive integer factors of 7613 that divides 7613 without a remainder.

1, 23, 331, 7613

Least Common Multiple of 7608 and 7613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7613, than apply into the LCM equation.

GCF(7608,7613) = 1
LCM(7608,7613) = ( 7608 × 7613) / 1
LCM(7608,7613) = 57919704 / 1
LCM(7608,7613) = 57919704

Properties of LCM 7608 and 7613

(i) The LCM of 7613 and 7608 is associative

LCM of 7608 and 7613 = LCM of 7613 and 7608

Related Least Common Multiples of 7608

Related Least Common Multiples of 7613

Frequently Asked Questions on LCM of 7608 and 7613

1. What is the LCM of 7608 and 7613?

Answer: LCM of 7608 and 7613 is 57919704.

2. What are the Factors of 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

3. What are the Factors of 7613?

Answer: Factors of 7613 are 1, 23, 331, 7613. There are 4 integers that are factors of 7613. The greatest factor of 7613 is 7613.

4. How to Find the LCM of 7608 and 7613?

Answer:

Least Common Multiple of 7608 and 7613 = 57919704

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 7613

7613 = 23 x 331

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

LCM = 57919704 = 2 x 2 x 2 x 3 x 23 x 317 x 331

Step 4: Therefore, the least common multiple of 7608 and 7613 is 57919704.