Least Common Multiple of 8634 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 8634 and 8641 the smallest integer that is 74606394 that is divisible by both numbers.

Least Common Multiple (LCM) of 8634 and 8641 is 74606394.

LCM(8634,8641) = 74606394

LCM of 8634 and 8641

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

LCM of:
and

Least Common Multiple of 8634 and 8641

LCM of 8634 and 8641 is 74606394

Least common multiple can be found by multiplying the highest exponent prime factors of 8634 and 8641. First we will calculate the prime factors of 8634 and 8641.

Prime Factorization of 8634


2 8634
3 4317
1439 1439
1

Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:

8634 = 21×31×14391

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 8634 and 8641.

LCM(8634,8641) = 21×31×14391×86411
LCM(8634,8641) = 74606394

Factors of 8634

List of positive integer factors of 8634 that divides 8634 without a remainder.

1, 2, 3, 6, 1439, 2878, 4317, 8634

Factors of 8641

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

1, 8641

Least Common Multiple of 8634 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 8634 and 8641, than apply into the LCM equation.

GCF(8634,8641) = 1
LCM(8634,8641) = ( 8634 × 8641) / 1
LCM(8634,8641) = 74606394 / 1
LCM(8634,8641) = 74606394

Properties of LCM 8634 and 8641

(i) The LCM of 8641 and 8634 is associative

LCM of 8634 and 8641 = LCM of 8641 and 8634

Related Least Common Multiples of 8634

Related Least Common Multiples of 8641

Frequently Asked Questions on LCM of 8634 and 8641

1. What is the LCM of 8634 and 8641?

Answer: LCM of 8634 and 8641 is 74606394.

2. What are the Factors of 8634?

Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.

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 8634 and 8641?

Answer:

Least Common Multiple of 8634 and 8641 = 74606394

Step 1: Find the prime factorization of 8634

8634 = 2 x 3 x 1439

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 = 74606394 = 2 x 3 x 1439 x 8641

Step 4: Therefore, the least common multiple of 8634 and 8641 is 74606394.