Least Common Multiple of 8572 and 8578

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 8578 the smallest integer that is 36765308 that is divisible by both numbers.

Least Common Multiple (LCM) of 8572 and 8578 is 36765308.

LCM(8572,8578) = 36765308

LCM of 8572 and 8578

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

LCM of:
and

Least Common Multiple of 8572 and 8578

LCM of 8572 and 8578 is 36765308

Least common multiple can be found by multiplying the highest exponent prime factors of 8572 and 8578. First we will calculate the prime factors of 8572 and 8578.

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 8578


2 8578
4289 4289
1

Prime factors of 8578 are 2,4289. Prime factorization of 8578 in exponential form is:

8578 = 21×42891

Now multiplying the highest exponent prime factors to calculate the LCM of 8572 and 8578.

LCM(8572,8578) = 22×21431×42891
LCM(8572,8578) = 36765308

Factors of 8572

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

1, 2, 4, 2143, 4286, 8572

Factors of 8578

List of positive integer factors of 8578 that divides 8578 without a remainder.

1, 2, 4289, 8578

Least Common Multiple of 8572 and 8578 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 8578, than apply into the LCM equation.

GCF(8572,8578) = 2
LCM(8572,8578) = ( 8572 × 8578) / 2
LCM(8572,8578) = 73530616 / 2
LCM(8572,8578) = 36765308

Properties of LCM 8572 and 8578

(i) The LCM of 8578 and 8572 is associative

LCM of 8572 and 8578 = LCM of 8578 and 8572

Related Least Common Multiples of 8572

Related Least Common Multiples of 8578

Frequently Asked Questions on LCM of 8572 and 8578

1. What is the LCM of 8572 and 8578?

Answer: LCM of 8572 and 8578 is 36765308.

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 8578?

Answer: Factors of 8578 are 1, 2, 4289, 8578. There are 4 integers that are factors of 8578. The greatest factor of 8578 is 8578.

4. How to Find the LCM of 8572 and 8578?

Answer:

Least Common Multiple of 8572 and 8578 = 36765308

Step 1: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

Step 2: Find the prime factorization of 8578

8578 = 2 x 4289

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

LCM = 36765308 = 2 x 2 x 2143 x 4289

Step 4: Therefore, the least common multiple of 8572 and 8578 is 36765308.