Least Common Multiple of 8572 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 8572 and 8577 the smallest integer that is 73522044 that is divisible by both numbers.

Least Common Multiple (LCM) of 8572 and 8577 is 73522044.

LCM(8572,8577) = 73522044

LCM of 8572 and 8577

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

LCM of:
and

Least Common Multiple of 8572 and 8577

LCM of 8572 and 8577 is 73522044

Least common multiple can be found by multiplying the highest exponent prime factors of 8572 and 8577. First we will calculate the prime factors of 8572 and 8577.

Prime Factorization of 8572


2 8572
2 4286
2143 2143
1

Prime factors of 8572 are 2,2143. Prime factorization of 8572 in exponential form is:

8572 = 22×21431

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 8572 and 8577.

LCM(8572,8577) = 22×32×9531×21431
LCM(8572,8577) = 73522044

Factors of 8572

List of positive integer factors of 8572 that divides 8572 without a remainder.

1, 2, 4, 2143, 4286, 8572

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 8572 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 8572 and 8577, than apply into the LCM equation.

GCF(8572,8577) = 1
LCM(8572,8577) = ( 8572 × 8577) / 1
LCM(8572,8577) = 73522044 / 1
LCM(8572,8577) = 73522044

Properties of LCM 8572 and 8577

(i) The LCM of 8577 and 8572 is associative

LCM of 8572 and 8577 = LCM of 8577 and 8572

Related Least Common Multiples of 8572

Related Least Common Multiples of 8577

Frequently Asked Questions on LCM of 8572 and 8577

1. What is the LCM of 8572 and 8577?

Answer: LCM of 8572 and 8577 is 73522044.

2. What are the Factors of 8572?

Answer: Factors of 8572 are 1, 2, 4, 2143, 4286, 8572. There are 6 integers that are factors of 8572. The greatest factor of 8572 is 8572.

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 8572 and 8577?

Answer:

Least Common Multiple of 8572 and 8577 = 73522044

Step 1: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

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 = 73522044 = 2 x 2 x 3 x 3 x 953 x 2143

Step 4: Therefore, the least common multiple of 8572 and 8577 is 73522044.