Least Common Multiple of 7577 and 7585

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 7585 the smallest integer that is 57471545 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7585 is 57471545.

LCM(7577,7585) = 57471545

LCM of 7577 and 7585

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

LCM of:
and

Least Common Multiple of 7577 and 7585

LCM of 7577 and 7585 is 57471545

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7585. First we will calculate the prime factors of 7577 and 7585.

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 7585


5 7585
37 1517
41 41
1

Prime factors of 7585 are 5, 37,41. Prime factorization of 7585 in exponential form is:

7585 = 51×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7577 and 7585.

LCM(7577,7585) = 51×371×411×75771
LCM(7577,7585) = 57471545

Factors of 7577

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

1, 7577

Factors of 7585

List of positive integer factors of 7585 that divides 7585 without a remainder.

1, 5, 37, 41, 185, 205, 1517, 7585

Least Common Multiple of 7577 and 7585 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 7585, than apply into the LCM equation.

GCF(7577,7585) = 1
LCM(7577,7585) = ( 7577 × 7585) / 1
LCM(7577,7585) = 57471545 / 1
LCM(7577,7585) = 57471545

Properties of LCM 7577 and 7585

(i) The LCM of 7585 and 7577 is associative

LCM of 7577 and 7585 = LCM of 7585 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7585

Frequently Asked Questions on LCM of 7577 and 7585

1. What is the LCM of 7577 and 7585?

Answer: LCM of 7577 and 7585 is 57471545.

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 7585?

Answer: Factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585. There are 8 integers that are factors of 7585. The greatest factor of 7585 is 7585.

4. How to Find the LCM of 7577 and 7585?

Answer:

Least Common Multiple of 7577 and 7585 = 57471545

Step 1: Find the prime factorization of 7577

7577 = 7577

Step 2: Find the prime factorization of 7585

7585 = 5 x 37 x 41

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

LCM = 57471545 = 5 x 37 x 41 x 7577

Step 4: Therefore, the least common multiple of 7577 and 7585 is 57471545.