Least Common Multiple of 8572 and 8579

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 8579 the smallest integer that is 73539188 that is divisible by both numbers.

Least Common Multiple (LCM) of 8572 and 8579 is 73539188.

LCM(8572,8579) = 73539188

LCM of 8572 and 8579

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

LCM of:
and

Least Common Multiple of 8572 and 8579

LCM of 8572 and 8579 is 73539188

Least common multiple can be found by multiplying the highest exponent prime factors of 8572 and 8579. First we will calculate the prime factors of 8572 and 8579.

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 8579


23 8579
373 373
1

Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:

8579 = 231×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8572 and 8579.

LCM(8572,8579) = 22×231×3731×21431
LCM(8572,8579) = 73539188

Factors of 8572

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

1, 2, 4, 2143, 4286, 8572

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1, 23, 373, 8579

Least Common Multiple of 8572 and 8579 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 8579, than apply into the LCM equation.

GCF(8572,8579) = 1
LCM(8572,8579) = ( 8572 × 8579) / 1
LCM(8572,8579) = 73539188 / 1
LCM(8572,8579) = 73539188

Properties of LCM 8572 and 8579

(i) The LCM of 8579 and 8572 is associative

LCM of 8572 and 8579 = LCM of 8579 and 8572

Related Least Common Multiples of 8572

Related Least Common Multiples of 8579

Frequently Asked Questions on LCM of 8572 and 8579

1. What is the LCM of 8572 and 8579?

Answer: LCM of 8572 and 8579 is 73539188.

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 8579?

Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.

4. How to Find the LCM of 8572 and 8579?

Answer:

Least Common Multiple of 8572 and 8579 = 73539188

Step 1: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

Step 2: Find the prime factorization of 8579

8579 = 23 x 373

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

LCM = 73539188 = 2 x 2 x 23 x 373 x 2143

Step 4: Therefore, the least common multiple of 8572 and 8579 is 73539188.