Least Common Multiple of 8643 and 8648

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 8648 the smallest integer that is 74744664 that is divisible by both numbers.

Least Common Multiple (LCM) of 8643 and 8648 is 74744664.

LCM(8643,8648) = 74744664

LCM of 8643 and 8648

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

LCM of:
and

Least Common Multiple of 8643 and 8648

LCM of 8643 and 8648 is 74744664

Least common multiple can be found by multiplying the highest exponent prime factors of 8643 and 8648. First we will calculate the prime factors of 8643 and 8648.

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 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2, 23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8643 and 8648.

LCM(8643,8648) = 23×31×231×431×471×671
LCM(8643,8648) = 74744664

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 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648

Least Common Multiple of 8643 and 8648 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 8648, than apply into the LCM equation.

GCF(8643,8648) = 1
LCM(8643,8648) = ( 8643 × 8648) / 1
LCM(8643,8648) = 74744664 / 1
LCM(8643,8648) = 74744664

Properties of LCM 8643 and 8648

(i) The LCM of 8648 and 8643 is associative

LCM of 8643 and 8648 = LCM of 8648 and 8643

Related Least Common Multiples of 8643

Related Least Common Multiples of 8648

Frequently Asked Questions on LCM of 8643 and 8648

1. What is the LCM of 8643 and 8648?

Answer: LCM of 8643 and 8648 is 74744664.

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 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

4. How to Find the LCM of 8643 and 8648?

Answer:

Least Common Multiple of 8643 and 8648 = 74744664

Step 1: Find the prime factorization of 8643

8643 = 3 x 43 x 67

Step 2: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

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

LCM = 74744664 = 2 x 2 x 2 x 3 x 23 x 43 x 47 x 67

Step 4: Therefore, the least common multiple of 8643 and 8648 is 74744664.