Least Common Multiple of 8643 and 8647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8643 and 8647 the smallest integer that is 74736021 that is divisible by both numbers.

Least Common Multiple (LCM) of 8643 and 8647 is 74736021.

LCM(8643,8647) = 74736021

LCM of 8643 and 8647

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

LCM of:
and

Least Common Multiple of 8643 and 8647

LCM of 8643 and 8647 is 74736021

Least common multiple can be found by multiplying the highest exponent prime factors of 8643 and 8647. First we will calculate the prime factors of 8643 and 8647.

Prime Factorization of 8643


3 8643
43 2881
67 67
1

Prime factors of 8643 are 3, 43,67. Prime factorization of 8643 in exponential form is:

8643 = 31×431×671

Prime Factorization of 8647


8647 8647
1

Prime factors of 8647 are 8647. Prime factorization of 8647 in exponential form is:

8647 = 86471

Now multiplying the highest exponent prime factors to calculate the LCM of 8643 and 8647.

LCM(8643,8647) = 31×431×671×86471
LCM(8643,8647) = 74736021

Factors of 8643

List of positive integer factors of 8643 that divides 8643 without a remainder.

1, 3, 43, 67, 129, 201, 2881, 8643

Factors of 8647

List of positive integer factors of 8647 that divides 8647 without a remainder.

1, 8647

Least Common Multiple of 8643 and 8647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8643 and 8647, than apply into the LCM equation.

GCF(8643,8647) = 1
LCM(8643,8647) = ( 8643 × 8647) / 1
LCM(8643,8647) = 74736021 / 1
LCM(8643,8647) = 74736021

Properties of LCM 8643 and 8647

(i) The LCM of 8647 and 8643 is associative

LCM of 8643 and 8647 = LCM of 8647 and 8643

Related Least Common Multiples of 8643

Related Least Common Multiples of 8647

Frequently Asked Questions on LCM of 8643 and 8647

1. What is the LCM of 8643 and 8647?

Answer: LCM of 8643 and 8647 is 74736021.

2. What are the Factors of 8643?

Answer: Factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643. There are 8 integers that are factors of 8643. The greatest factor of 8643 is 8643.

3. What are the Factors of 8647?

Answer: Factors of 8647 are 1, 8647. There are 2 integers that are factors of 8647. The greatest factor of 8647 is 8647.

4. How to Find the LCM of 8643 and 8647?

Answer:

Least Common Multiple of 8643 and 8647 = 74736021

Step 1: Find the prime factorization of 8643

8643 = 3 x 43 x 67

Step 2: Find the prime factorization of 8647

8647 = 8647

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

LCM = 74736021 = 3 x 43 x 67 x 8647

Step 4: Therefore, the least common multiple of 8643 and 8647 is 74736021.