Least Common Multiple of 6577 and 6585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6577 and 6585 the smallest integer that is 43309545 that is divisible by both numbers.

Least Common Multiple (LCM) of 6577 and 6585 is 43309545.

LCM(6577,6585) = 43309545

LCM of 6577 and 6585

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

LCM of:
and

Least Common Multiple of 6577 and 6585

LCM of 6577 and 6585 is 43309545

Least common multiple can be found by multiplying the highest exponent prime factors of 6577 and 6585. First we will calculate the prime factors of 6577 and 6585.

Prime Factorization of 6577


6577 6577
1

Prime factors of 6577 are 6577. Prime factorization of 6577 in exponential form is:

6577 = 65771

Prime Factorization of 6585


3 6585
5 2195
439 439
1

Prime factors of 6585 are 3, 5,439. Prime factorization of 6585 in exponential form is:

6585 = 31×51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 6577 and 6585.

LCM(6577,6585) = 31×51×4391×65771
LCM(6577,6585) = 43309545

Factors of 6577

List of positive integer factors of 6577 that divides 6577 without a remainder.

1, 6577

Factors of 6585

List of positive integer factors of 6585 that divides 6585 without a remainder.

1, 3, 5, 15, 439, 1317, 2195, 6585

Least Common Multiple of 6577 and 6585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6577 and 6585, than apply into the LCM equation.

GCF(6577,6585) = 1
LCM(6577,6585) = ( 6577 × 6585) / 1
LCM(6577,6585) = 43309545 / 1
LCM(6577,6585) = 43309545

Properties of LCM 6577 and 6585

(i) The LCM of 6585 and 6577 is associative

LCM of 6577 and 6585 = LCM of 6585 and 6577

Related Least Common Multiples of 6577

Related Least Common Multiples of 6585

Frequently Asked Questions on LCM of 6577 and 6585

1. What is the LCM of 6577 and 6585?

Answer: LCM of 6577 and 6585 is 43309545.

2. What are the Factors of 6577?

Answer: Factors of 6577 are 1, 6577. There are 2 integers that are factors of 6577. The greatest factor of 6577 is 6577.

3. What are the Factors of 6585?

Answer: Factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585. There are 8 integers that are factors of 6585. The greatest factor of 6585 is 6585.

4. How to Find the LCM of 6577 and 6585?

Answer:

Least Common Multiple of 6577 and 6585 = 43309545

Step 1: Find the prime factorization of 6577

6577 = 6577

Step 2: Find the prime factorization of 6585

6585 = 3 x 5 x 439

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

LCM = 43309545 = 3 x 5 x 439 x 6577

Step 4: Therefore, the least common multiple of 6577 and 6585 is 43309545.