Least Common Multiple of 8573 and 8577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8573 and 8577 the smallest integer that is 73530621 that is divisible by both numbers.

Least Common Multiple (LCM) of 8573 and 8577 is 73530621.

LCM(8573,8577) = 73530621

LCM of 8573 and 8577

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

LCM of:
and

Least Common Multiple of 8573 and 8577

LCM of 8573 and 8577 is 73530621

Least common multiple can be found by multiplying the highest exponent prime factors of 8573 and 8577. First we will calculate the prime factors of 8573 and 8577.

Prime Factorization of 8573


8573 8573
1

Prime factors of 8573 are 8573. Prime factorization of 8573 in exponential form is:

8573 = 85731

Prime Factorization of 8577


3 8577
3 2859
953 953
1

Prime factors of 8577 are 3,953. Prime factorization of 8577 in exponential form is:

8577 = 32×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 8573 and 8577.

LCM(8573,8577) = 32×9531×85731
LCM(8573,8577) = 73530621

Factors of 8573

List of positive integer factors of 8573 that divides 8573 without a remainder.

1, 8573

Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1, 3, 9, 953, 2859, 8577

Least Common Multiple of 8573 and 8577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8573 and 8577, than apply into the LCM equation.

GCF(8573,8577) = 1
LCM(8573,8577) = ( 8573 × 8577) / 1
LCM(8573,8577) = 73530621 / 1
LCM(8573,8577) = 73530621

Properties of LCM 8573 and 8577

(i) The LCM of 8577 and 8573 is associative

LCM of 8573 and 8577 = LCM of 8577 and 8573

Related Least Common Multiples of 8573

Related Least Common Multiples of 8577

Frequently Asked Questions on LCM of 8573 and 8577

1. What is the LCM of 8573 and 8577?

Answer: LCM of 8573 and 8577 is 73530621.

2. What are the Factors of 8573?

Answer: Factors of 8573 are 1, 8573. There are 2 integers that are factors of 8573. The greatest factor of 8573 is 8573.

3. What are the Factors of 8577?

Answer: Factors of 8577 are 1, 3, 9, 953, 2859, 8577. There are 6 integers that are factors of 8577. The greatest factor of 8577 is 8577.

4. How to Find the LCM of 8573 and 8577?

Answer:

Least Common Multiple of 8573 and 8577 = 73530621

Step 1: Find the prime factorization of 8573

8573 = 8573

Step 2: Find the prime factorization of 8577

8577 = 3 x 3 x 953

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

LCM = 73530621 = 3 x 3 x 953 x 8573

Step 4: Therefore, the least common multiple of 8573 and 8577 is 73530621.