Least Common Multiple of 8641 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 8641 and 8648 the smallest integer that is 74727368 that is divisible by both numbers.

Least Common Multiple (LCM) of 8641 and 8648 is 74727368.

LCM(8641,8648) = 74727368

LCM of 8641 and 8648

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

LCM of:
and

Least Common Multiple of 8641 and 8648

LCM of 8641 and 8648 is 74727368

Least common multiple can be found by multiplying the highest exponent prime factors of 8641 and 8648. First we will calculate the prime factors of 8641 and 8648.

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 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 8641 and 8648.

LCM(8641,8648) = 23×231×471×86411
LCM(8641,8648) = 74727368

Factors of 8641

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

1, 8641

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 8641 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 8641 and 8648, than apply into the LCM equation.

GCF(8641,8648) = 1
LCM(8641,8648) = ( 8641 × 8648) / 1
LCM(8641,8648) = 74727368 / 1
LCM(8641,8648) = 74727368

Properties of LCM 8641 and 8648

(i) The LCM of 8648 and 8641 is associative

LCM of 8641 and 8648 = LCM of 8648 and 8641

Related Least Common Multiples of 8641

Related Least Common Multiples of 8648

Frequently Asked Questions on LCM of 8641 and 8648

1. What is the LCM of 8641 and 8648?

Answer: LCM of 8641 and 8648 is 74727368.

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 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 8641 and 8648?

Answer:

Least Common Multiple of 8641 and 8648 = 74727368

Step 1: Find the prime factorization of 8641

8641 = 8641

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 = 74727368 = 2 x 2 x 2 x 23 x 47 x 8641

Step 4: Therefore, the least common multiple of 8641 and 8648 is 74727368.