Least Common Multiple of 577 and 585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 577 and 585 the smallest integer that is 337545 that is divisible by both numbers.

Least Common Multiple (LCM) of 577 and 585 is 337545.

LCM(577,585) = 337545

LCM of 577 and 585

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

LCM of:
and

Least Common Multiple of 577 and 585

LCM of 577 and 585 is 337545

Least common multiple can be found by multiplying the highest exponent prime factors of 577 and 585. First we will calculate the prime factors of 577 and 585.

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

Prime Factorization of 585


3 585
3 195
5 65
13 13
1

Prime factors of 585 are 3, 5,13. Prime factorization of 585 in exponential form is:

585 = 32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 577 and 585.

LCM(577,585) = 32×51×131×5771
LCM(577,585) = 337545

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1, 577

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Least Common Multiple of 577 and 585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 577 and 585, than apply into the LCM equation.

GCF(577,585) = 1
LCM(577,585) = ( 577 × 585) / 1
LCM(577,585) = 337545 / 1
LCM(577,585) = 337545

Properties of LCM 577 and 585

(i) The LCM of 585 and 577 is associative

LCM of 577 and 585 = LCM of 585 and 577

Related Least Common Multiples of 577

Related Least Common Multiples of 585

Frequently Asked Questions on LCM of 577 and 585

1. What is the LCM of 577 and 585?

Answer: LCM of 577 and 585 is 337545.

2. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

3. What are the Factors of 585?

Answer: Factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. There are 12 integers that are factors of 585. The greatest factor of 585 is 585.

4. How to Find the LCM of 577 and 585?

Answer:

Least Common Multiple of 577 and 585 = 337545

Step 1: Find the prime factorization of 577

577 = 577

Step 2: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

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

LCM = 337545 = 3 x 3 x 5 x 13 x 577

Step 4: Therefore, the least common multiple of 577 and 585 is 337545.