Least Common Multiple of 6573 and 6577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6573 and 6577 the smallest integer that is 43230621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6573 and 6577 is 43230621.

LCM(6573,6577) = 43230621

LCM of 6573 and 6577

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

LCM of:
and

Least Common Multiple of 6573 and 6577

LCM of 6573 and 6577 is 43230621

Least common multiple can be found by multiplying the highest exponent prime factors of 6573 and 6577. First we will calculate the prime factors of 6573 and 6577.

Prime Factorization of 6573


3 6573
7 2191
313 313
1

Prime factors of 6573 are 3, 7,313. Prime factorization of 6573 in exponential form is:

6573 = 31×71×3131

Prime Factorization of 6577


6577 6577
1

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

6577 = 65771

Now multiplying the highest exponent prime factors to calculate the LCM of 6573 and 6577.

LCM(6573,6577) = 31×71×3131×65771
LCM(6573,6577) = 43230621

Factors of 6573

List of positive integer factors of 6573 that divides 6573 without a remainder.

1, 3, 7, 21, 313, 939, 2191, 6573

Factors of 6577

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

1, 6577

Least Common Multiple of 6573 and 6577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6573 and 6577, than apply into the LCM equation.

GCF(6573,6577) = 1
LCM(6573,6577) = ( 6573 × 6577) / 1
LCM(6573,6577) = 43230621 / 1
LCM(6573,6577) = 43230621

Properties of LCM 6573 and 6577

(i) The LCM of 6577 and 6573 is associative

LCM of 6573 and 6577 = LCM of 6577 and 6573

Related Least Common Multiples of 6573

Related Least Common Multiples of 6577

Frequently Asked Questions on LCM of 6573 and 6577

1. What is the LCM of 6573 and 6577?

Answer: LCM of 6573 and 6577 is 43230621.

2. What are the Factors of 6573?

Answer: Factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573. There are 8 integers that are factors of 6573. The greatest factor of 6573 is 6573.

3. 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.

4. How to Find the LCM of 6573 and 6577?

Answer:

Least Common Multiple of 6573 and 6577 = 43230621

Step 1: Find the prime factorization of 6573

6573 = 3 x 7 x 313

Step 2: Find the prime factorization of 6577

6577 = 6577

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

LCM = 43230621 = 3 x 7 x 313 x 6577

Step 4: Therefore, the least common multiple of 6573 and 6577 is 43230621.