Least Common Multiple of 8648 and 8649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8648 and 8649 the smallest integer that is 74796552 that is divisible by both numbers.

Least Common Multiple (LCM) of 8648 and 8649 is 74796552.

LCM(8648,8649) = 74796552

LCM of 8648 and 8649

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

LCM of:
and

Least Common Multiple of 8648 and 8649

LCM of 8648 and 8649 is 74796552

Least common multiple can be found by multiplying the highest exponent prime factors of 8648 and 8649. First we will calculate the prime factors of 8648 and 8649.

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

Prime Factorization of 8649


3 8649
3 2883
31 961
31 31
1

Prime factors of 8649 are 3,31. Prime factorization of 8649 in exponential form is:

8649 = 32×312

Now multiplying the highest exponent prime factors to calculate the LCM of 8648 and 8649.

LCM(8648,8649) = 23×32×231×312×471
LCM(8648,8649) = 74796552

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

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1, 3, 9, 31, 93, 279, 961, 2883, 8649

Least Common Multiple of 8648 and 8649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8648 and 8649, than apply into the LCM equation.

GCF(8648,8649) = 1
LCM(8648,8649) = ( 8648 × 8649) / 1
LCM(8648,8649) = 74796552 / 1
LCM(8648,8649) = 74796552

Properties of LCM 8648 and 8649

(i) The LCM of 8649 and 8648 is associative

LCM of 8648 and 8649 = LCM of 8649 and 8648

Related Least Common Multiples of 8648

Related Least Common Multiples of 8649

Frequently Asked Questions on LCM of 8648 and 8649

1. What is the LCM of 8648 and 8649?

Answer: LCM of 8648 and 8649 is 74796552.

2. 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.

3. What are the Factors of 8649?

Answer: Factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649. There are 9 integers that are factors of 8649. The greatest factor of 8649 is 8649.

4. How to Find the LCM of 8648 and 8649?

Answer:

Least Common Multiple of 8648 and 8649 = 74796552

Step 1: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

Step 2: Find the prime factorization of 8649

8649 = 3 x 3 x 31 x 31

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

LCM = 74796552 = 2 x 2 x 2 x 3 x 3 x 23 x 31 x 31 x 47

Step 4: Therefore, the least common multiple of 8648 and 8649 is 74796552.