Least Common Multiple of 8641 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 8641 and 8649 the smallest integer that is 74736009 that is divisible by both numbers.

Least Common Multiple (LCM) of 8641 and 8649 is 74736009.

LCM(8641,8649) = 74736009

LCM of 8641 and 8649

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

LCM of:
and

Least Common Multiple of 8641 and 8649

LCM of 8641 and 8649 is 74736009

Least common multiple can be found by multiplying the highest exponent prime factors of 8641 and 8649. First we will calculate the prime factors of 8641 and 8649.

Prime Factorization of 8641


8641 8641
1

Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:

8641 = 86411

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 8641 and 8649.

LCM(8641,8649) = 32×312×86411
LCM(8641,8649) = 74736009

Factors of 8641

List of positive integer factors of 8641 that divides 8641 without a remainder.

1, 8641

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 8641 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 8641 and 8649, than apply into the LCM equation.

GCF(8641,8649) = 1
LCM(8641,8649) = ( 8641 × 8649) / 1
LCM(8641,8649) = 74736009 / 1
LCM(8641,8649) = 74736009

Properties of LCM 8641 and 8649

(i) The LCM of 8649 and 8641 is associative

LCM of 8641 and 8649 = LCM of 8649 and 8641

Related Least Common Multiples of 8641

Related Least Common Multiples of 8649

Frequently Asked Questions on LCM of 8641 and 8649

1. What is the LCM of 8641 and 8649?

Answer: LCM of 8641 and 8649 is 74736009.

2. What are the Factors of 8641?

Answer: Factors of 8641 are 1, 8641. There are 2 integers that are factors of 8641. The greatest factor of 8641 is 8641.

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 8641 and 8649?

Answer:

Least Common Multiple of 8641 and 8649 = 74736009

Step 1: Find the prime factorization of 8641

8641 = 8641

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 = 74736009 = 3 x 3 x 31 x 31 x 8641

Step 4: Therefore, the least common multiple of 8641 and 8649 is 74736009.