Least Common Multiple of 7577 and 7579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7577 and 7579 the smallest integer that is 57426083 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7579 is 57426083.

LCM(7577,7579) = 57426083

LCM of 7577 and 7579

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

LCM of:
and

Least Common Multiple of 7577 and 7579

LCM of 7577 and 7579 is 57426083

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7579. First we will calculate the prime factors of 7577 and 7579.

Prime Factorization of 7577


7577 7577
1

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7577 and 7579.

LCM(7577,7579) = 111×131×531×75771
LCM(7577,7579) = 57426083

Factors of 7577

List of positive integer factors of 7577 that divides 7577 without a remainder.

1, 7577

Factors of 7579

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

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

Least Common Multiple of 7577 and 7579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7577 and 7579, than apply into the LCM equation.

GCF(7577,7579) = 1
LCM(7577,7579) = ( 7577 × 7579) / 1
LCM(7577,7579) = 57426083 / 1
LCM(7577,7579) = 57426083

Properties of LCM 7577 and 7579

(i) The LCM of 7579 and 7577 is associative

LCM of 7577 and 7579 = LCM of 7579 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7579

Frequently Asked Questions on LCM of 7577 and 7579

1. What is the LCM of 7577 and 7579?

Answer: LCM of 7577 and 7579 is 57426083.

2. What are the Factors of 7577?

Answer: Factors of 7577 are 1, 7577. There are 2 integers that are factors of 7577. The greatest factor of 7577 is 7577.

3. 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.

4. How to Find the LCM of 7577 and 7579?

Answer:

Least Common Multiple of 7577 and 7579 = 57426083

Step 1: Find the prime factorization of 7577

7577 = 7577

Step 2: Find the prime factorization of 7579

7579 = 11 x 13 x 53

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

LCM = 57426083 = 11 x 13 x 53 x 7577

Step 4: Therefore, the least common multiple of 7577 and 7579 is 57426083.