Least Common Multiple of 7577 and 7580

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 7580 the smallest integer that is 57433660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7580 is 57433660.

LCM(7577,7580) = 57433660

LCM of 7577 and 7580

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

LCM of:
and

Least Common Multiple of 7577 and 7580

LCM of 7577 and 7580 is 57433660

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7580. First we will calculate the prime factors of 7577 and 7580.

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 7580


2 7580
2 3790
5 1895
379 379
1

Prime factors of 7580 are 2, 5,379. Prime factorization of 7580 in exponential form is:

7580 = 22×51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7577 and 7580.

LCM(7577,7580) = 22×51×3791×75771
LCM(7577,7580) = 57433660

Factors of 7577

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

1, 7577

Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

Least Common Multiple of 7577 and 7580 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 7580, than apply into the LCM equation.

GCF(7577,7580) = 1
LCM(7577,7580) = ( 7577 × 7580) / 1
LCM(7577,7580) = 57433660 / 1
LCM(7577,7580) = 57433660

Properties of LCM 7577 and 7580

(i) The LCM of 7580 and 7577 is associative

LCM of 7577 and 7580 = LCM of 7580 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7580

Frequently Asked Questions on LCM of 7577 and 7580

1. What is the LCM of 7577 and 7580?

Answer: LCM of 7577 and 7580 is 57433660.

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 7580?

Answer: Factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580. There are 12 integers that are factors of 7580. The greatest factor of 7580 is 7580.

4. How to Find the LCM of 7577 and 7580?

Answer:

Least Common Multiple of 7577 and 7580 = 57433660

Step 1: Find the prime factorization of 7577

7577 = 7577

Step 2: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

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

LCM = 57433660 = 2 x 2 x 5 x 379 x 7577

Step 4: Therefore, the least common multiple of 7577 and 7580 is 57433660.