Least Common Multiple of 7613 and 7621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7613 and 7621 the smallest integer that is 58018673 that is divisible by both numbers.

Least Common Multiple (LCM) of 7613 and 7621 is 58018673.

LCM(7613,7621) = 58018673

LCM of 7613 and 7621

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

LCM of:
and

Least Common Multiple of 7613 and 7621

LCM of 7613 and 7621 is 58018673

Least common multiple can be found by multiplying the highest exponent prime factors of 7613 and 7621. First we will calculate the prime factors of 7613 and 7621.

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

Prime Factorization of 7621


7621 7621
1

Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:

7621 = 76211

Now multiplying the highest exponent prime factors to calculate the LCM of 7613 and 7621.

LCM(7613,7621) = 231×3311×76211
LCM(7613,7621) = 58018673

Factors of 7613

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

1, 23, 331, 7613

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1, 7621

Least Common Multiple of 7613 and 7621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7613 and 7621, than apply into the LCM equation.

GCF(7613,7621) = 1
LCM(7613,7621) = ( 7613 × 7621) / 1
LCM(7613,7621) = 58018673 / 1
LCM(7613,7621) = 58018673

Properties of LCM 7613 and 7621

(i) The LCM of 7621 and 7613 is associative

LCM of 7613 and 7621 = LCM of 7621 and 7613

Related Least Common Multiples of 7613

Related Least Common Multiples of 7621

Frequently Asked Questions on LCM of 7613 and 7621

1. What is the LCM of 7613 and 7621?

Answer: LCM of 7613 and 7621 is 58018673.

2. 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.

3. What are the Factors of 7621?

Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.

4. How to Find the LCM of 7613 and 7621?

Answer:

Least Common Multiple of 7613 and 7621 = 58018673

Step 1: Find the prime factorization of 7613

7613 = 23 x 331

Step 2: Find the prime factorization of 7621

7621 = 7621

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

LCM = 58018673 = 23 x 331 x 7621

Step 4: Therefore, the least common multiple of 7613 and 7621 is 58018673.