Least Common Multiple of 8636 and 8641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8636 and 8641 the smallest integer that is 74623676 that is divisible by both numbers.

Least Common Multiple (LCM) of 8636 and 8641 is 74623676.

LCM(8636,8641) = 74623676

LCM of 8636 and 8641

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

LCM of:
and

Least Common Multiple of 8636 and 8641

LCM of 8636 and 8641 is 74623676

Least common multiple can be found by multiplying the highest exponent prime factors of 8636 and 8641. First we will calculate the prime factors of 8636 and 8641.

Prime Factorization of 8636


2 8636
2 4318
17 2159
127 127
1

Prime factors of 8636 are 2, 17,127. Prime factorization of 8636 in exponential form is:

8636 = 22×171×1271

Prime Factorization of 8641


8641 8641
1

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

8641 = 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 8636 and 8641.

LCM(8636,8641) = 22×171×1271×86411
LCM(8636,8641) = 74623676

Factors of 8636

List of positive integer factors of 8636 that divides 8636 without a remainder.

1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636

Factors of 8641

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

1, 8641

Least Common Multiple of 8636 and 8641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8636 and 8641, than apply into the LCM equation.

GCF(8636,8641) = 1
LCM(8636,8641) = ( 8636 × 8641) / 1
LCM(8636,8641) = 74623676 / 1
LCM(8636,8641) = 74623676

Properties of LCM 8636 and 8641

(i) The LCM of 8641 and 8636 is associative

LCM of 8636 and 8641 = LCM of 8641 and 8636

Related Least Common Multiples of 8636

Related Least Common Multiples of 8641

Frequently Asked Questions on LCM of 8636 and 8641

1. What is the LCM of 8636 and 8641?

Answer: LCM of 8636 and 8641 is 74623676.

2. What are the Factors of 8636?

Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.

3. 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.

4. How to Find the LCM of 8636 and 8641?

Answer:

Least Common Multiple of 8636 and 8641 = 74623676

Step 1: Find the prime factorization of 8636

8636 = 2 x 2 x 17 x 127

Step 2: Find the prime factorization of 8641

8641 = 8641

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

LCM = 74623676 = 2 x 2 x 17 x 127 x 8641

Step 4: Therefore, the least common multiple of 8636 and 8641 is 74623676.