Least Common Multiple of 8567 and 8573

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 8573 the smallest integer that is 73444891 that is divisible by both numbers.

Least Common Multiple (LCM) of 8567 and 8573 is 73444891.

LCM(8567,8573) = 73444891

LCM of 8567 and 8573

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

LCM of:
and

Least Common Multiple of 8567 and 8573

LCM of 8567 and 8573 is 73444891

Least common multiple can be found by multiplying the highest exponent prime factors of 8567 and 8573. First we will calculate the prime factors of 8567 and 8573.

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 8573


8573 8573
1

Prime factors of 8573 are 8573. Prime factorization of 8573 in exponential form is:

8573 = 85731

Now multiplying the highest exponent prime factors to calculate the LCM of 8567 and 8573.

LCM(8567,8573) = 131×6591×85731
LCM(8567,8573) = 73444891

Factors of 8567

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

1, 13, 659, 8567

Factors of 8573

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

1, 8573

Least Common Multiple of 8567 and 8573 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 8573, than apply into the LCM equation.

GCF(8567,8573) = 1
LCM(8567,8573) = ( 8567 × 8573) / 1
LCM(8567,8573) = 73444891 / 1
LCM(8567,8573) = 73444891

Properties of LCM 8567 and 8573

(i) The LCM of 8573 and 8567 is associative

LCM of 8567 and 8573 = LCM of 8573 and 8567

Related Least Common Multiples of 8567

Related Least Common Multiples of 8573

Frequently Asked Questions on LCM of 8567 and 8573

1. What is the LCM of 8567 and 8573?

Answer: LCM of 8567 and 8573 is 73444891.

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 8573?

Answer: Factors of 8573 are 1, 8573. There are 2 integers that are factors of 8573. The greatest factor of 8573 is 8573.

4. How to Find the LCM of 8567 and 8573?

Answer:

Least Common Multiple of 8567 and 8573 = 73444891

Step 1: Find the prime factorization of 8567

8567 = 13 x 659

Step 2: Find the prime factorization of 8573

8573 = 8573

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

LCM = 73444891 = 13 x 659 x 8573

Step 4: Therefore, the least common multiple of 8567 and 8573 is 73444891.