Least Common Multiple of 8574 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 8574 and 8578 the smallest integer that is 36773886 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8578 is 36773886.

LCM(8574,8578) = 36773886

LCM of 8574 and 8578

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

LCM of:
and

Least Common Multiple of 8574 and 8578

LCM of 8574 and 8578 is 36773886

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8578. First we will calculate the prime factors of 8574 and 8578.

Prime Factorization of 8574


2 8574
3 4287
1429 1429
1

Prime factors of 8574 are 2, 3,1429. Prime factorization of 8574 in exponential form is:

8574 = 21×31×14291

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 8574 and 8578.

LCM(8574,8578) = 21×31×14291×42891
LCM(8574,8578) = 36773886

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1, 2, 3, 6, 1429, 2858, 4287, 8574

Factors of 8578

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

1, 2, 4289, 8578

Least Common Multiple of 8574 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 8574 and 8578, than apply into the LCM equation.

GCF(8574,8578) = 2
LCM(8574,8578) = ( 8574 × 8578) / 2
LCM(8574,8578) = 73547772 / 2
LCM(8574,8578) = 36773886

Properties of LCM 8574 and 8578

(i) The LCM of 8578 and 8574 is associative

LCM of 8574 and 8578 = LCM of 8578 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8578

Frequently Asked Questions on LCM of 8574 and 8578

1. What is the LCM of 8574 and 8578?

Answer: LCM of 8574 and 8578 is 36773886.

2. What are the Factors of 8574?

Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.

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 8574 and 8578?

Answer:

Least Common Multiple of 8574 and 8578 = 36773886

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

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 = 36773886 = 2 x 3 x 1429 x 4289

Step 4: Therefore, the least common multiple of 8574 and 8578 is 36773886.