Least Common Multiple of 8573 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 8573 and 8578 the smallest integer that is 73539194 that is divisible by both numbers.

Least Common Multiple (LCM) of 8573 and 8578 is 73539194.

LCM(8573,8578) = 73539194

LCM of 8573 and 8578

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

LCM of:
and

Least Common Multiple of 8573 and 8578

LCM of 8573 and 8578 is 73539194

Least common multiple can be found by multiplying the highest exponent prime factors of 8573 and 8578. First we will calculate the prime factors of 8573 and 8578.

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 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 8573 and 8578.

LCM(8573,8578) = 21×42891×85731
LCM(8573,8578) = 73539194

Factors of 8573

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

1, 8573

Factors of 8578

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

1, 2, 4289, 8578

Least Common Multiple of 8573 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 8573 and 8578, than apply into the LCM equation.

GCF(8573,8578) = 1
LCM(8573,8578) = ( 8573 × 8578) / 1
LCM(8573,8578) = 73539194 / 1
LCM(8573,8578) = 73539194

Properties of LCM 8573 and 8578

(i) The LCM of 8578 and 8573 is associative

LCM of 8573 and 8578 = LCM of 8578 and 8573

Related Least Common Multiples of 8573

Related Least Common Multiples of 8578

Frequently Asked Questions on LCM of 8573 and 8578

1. What is the LCM of 8573 and 8578?

Answer: LCM of 8573 and 8578 is 73539194.

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 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 8573 and 8578?

Answer:

Least Common Multiple of 8573 and 8578 = 73539194

Step 1: Find the prime factorization of 8573

8573 = 8573

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 = 73539194 = 2 x 4289 x 8573

Step 4: Therefore, the least common multiple of 8573 and 8578 is 73539194.