Least Common Multiple of 8567 and 8572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8567 and 8572 the smallest integer that is 73436324 that is divisible by both numbers.

Least Common Multiple (LCM) of 8567 and 8572 is 73436324.

LCM(8567,8572) = 73436324

LCM of 8567 and 8572

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

LCM of:
and

Least Common Multiple of 8567 and 8572

LCM of 8567 and 8572 is 73436324

Least common multiple can be found by multiplying the highest exponent prime factors of 8567 and 8572. First we will calculate the prime factors of 8567 and 8572.

Prime Factorization of 8567


13 8567
659 659
1

Prime factors of 8567 are 13,659. Prime factorization of 8567 in exponential form is:

8567 = 131×6591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8567 and 8572.

LCM(8567,8572) = 22×131×6591×21431
LCM(8567,8572) = 73436324

Factors of 8567

List of positive integer factors of 8567 that divides 8567 without a remainder.

1, 13, 659, 8567

Factors of 8572

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

1, 2, 4, 2143, 4286, 8572

Least Common Multiple of 8567 and 8572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8567 and 8572, than apply into the LCM equation.

GCF(8567,8572) = 1
LCM(8567,8572) = ( 8567 × 8572) / 1
LCM(8567,8572) = 73436324 / 1
LCM(8567,8572) = 73436324

Properties of LCM 8567 and 8572

(i) The LCM of 8572 and 8567 is associative

LCM of 8567 and 8572 = LCM of 8572 and 8567

Related Least Common Multiples of 8567

Related Least Common Multiples of 8572

Frequently Asked Questions on LCM of 8567 and 8572

1. What is the LCM of 8567 and 8572?

Answer: LCM of 8567 and 8572 is 73436324.

2. What are the Factors of 8567?

Answer: Factors of 8567 are 1, 13, 659, 8567. There are 4 integers that are factors of 8567. The greatest factor of 8567 is 8567.

3. 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.

4. How to Find the LCM of 8567 and 8572?

Answer:

Least Common Multiple of 8567 and 8572 = 73436324

Step 1: Find the prime factorization of 8567

8567 = 13 x 659

Step 2: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

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

LCM = 73436324 = 2 x 2 x 13 x 659 x 2143

Step 4: Therefore, the least common multiple of 8567 and 8572 is 73436324.