Least Common Multiple of 8641 and 8646

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 8646 the smallest integer that is 74710086 that is divisible by both numbers.

Least Common Multiple (LCM) of 8641 and 8646 is 74710086.

LCM(8641,8646) = 74710086

LCM of 8641 and 8646

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

LCM of:
and

Least Common Multiple of 8641 and 8646

LCM of 8641 and 8646 is 74710086

Least common multiple can be found by multiplying the highest exponent prime factors of 8641 and 8646. First we will calculate the prime factors of 8641 and 8646.

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 8646


2 8646
3 4323
11 1441
131 131
1

Prime factors of 8646 are 2, 3, 11,131. Prime factorization of 8646 in exponential form is:

8646 = 21×31×111×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8641 and 8646.

LCM(8641,8646) = 21×31×111×1311×86411
LCM(8641,8646) = 74710086

Factors of 8641

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

1, 8641

Factors of 8646

List of positive integer factors of 8646 that divides 8646 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646

Least Common Multiple of 8641 and 8646 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 8646, than apply into the LCM equation.

GCF(8641,8646) = 1
LCM(8641,8646) = ( 8641 × 8646) / 1
LCM(8641,8646) = 74710086 / 1
LCM(8641,8646) = 74710086

Properties of LCM 8641 and 8646

(i) The LCM of 8646 and 8641 is associative

LCM of 8641 and 8646 = LCM of 8646 and 8641

Related Least Common Multiples of 8641

Related Least Common Multiples of 8646

Frequently Asked Questions on LCM of 8641 and 8646

1. What is the LCM of 8641 and 8646?

Answer: LCM of 8641 and 8646 is 74710086.

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 8646?

Answer: Factors of 8646 are 1, 2, 3, 6, 11, 22, 33, 66, 131, 262, 393, 786, 1441, 2882, 4323, 8646. There are 16 integers that are factors of 8646. The greatest factor of 8646 is 8646.

4. How to Find the LCM of 8641 and 8646?

Answer:

Least Common Multiple of 8641 and 8646 = 74710086

Step 1: Find the prime factorization of 8641

8641 = 8641

Step 2: Find the prime factorization of 8646

8646 = 2 x 3 x 11 x 131

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

LCM = 74710086 = 2 x 3 x 11 x 131 x 8641

Step 4: Therefore, the least common multiple of 8641 and 8646 is 74710086.