Least Common Multiple of 7579 and 7583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7579 and 7583 the smallest integer that is 57471557 that is divisible by both numbers.

Least Common Multiple (LCM) of 7579 and 7583 is 57471557.

LCM(7579,7583) = 57471557

LCM of 7579 and 7583

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

LCM of:
and

Least Common Multiple of 7579 and 7583

LCM of 7579 and 7583 is 57471557

Least common multiple can be found by multiplying the highest exponent prime factors of 7579 and 7583. First we will calculate the prime factors of 7579 and 7583.

Prime Factorization of 7579


11 7579
13 689
53 53
1

Prime factors of 7579 are 11, 13,53. Prime factorization of 7579 in exponential form is:

7579 = 111×131×531

Prime Factorization of 7583


7583 7583
1

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 7579 and 7583.

LCM(7579,7583) = 111×131×531×75831
LCM(7579,7583) = 57471557

Factors of 7579

List of positive integer factors of 7579 that divides 7579 without a remainder.

1, 11, 13, 53, 143, 583, 689, 7579

Factors of 7583

List of positive integer factors of 7583 that divides 7583 without a remainder.

1, 7583

Least Common Multiple of 7579 and 7583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7579 and 7583, than apply into the LCM equation.

GCF(7579,7583) = 1
LCM(7579,7583) = ( 7579 × 7583) / 1
LCM(7579,7583) = 57471557 / 1
LCM(7579,7583) = 57471557

Properties of LCM 7579 and 7583

(i) The LCM of 7583 and 7579 is associative

LCM of 7579 and 7583 = LCM of 7583 and 7579

Related Least Common Multiples of 7579

Related Least Common Multiples of 7583

Frequently Asked Questions on LCM of 7579 and 7583

1. What is the LCM of 7579 and 7583?

Answer: LCM of 7579 and 7583 is 57471557.

2. What are the Factors of 7579?

Answer: Factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579. There are 8 integers that are factors of 7579. The greatest factor of 7579 is 7579.

3. What are the Factors of 7583?

Answer: Factors of 7583 are 1, 7583. There are 2 integers that are factors of 7583. The greatest factor of 7583 is 7583.

4. How to Find the LCM of 7579 and 7583?

Answer:

Least Common Multiple of 7579 and 7583 = 57471557

Step 1: Find the prime factorization of 7579

7579 = 11 x 13 x 53

Step 2: Find the prime factorization of 7583

7583 = 7583

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

LCM = 57471557 = 11 x 13 x 53 x 7583

Step 4: Therefore, the least common multiple of 7579 and 7583 is 57471557.