Least Common Multiple of 9641 and 9643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9641 and 9643 the smallest integer that is 92968163 that is divisible by both numbers.

Least Common Multiple (LCM) of 9641 and 9643 is 92968163.

LCM(9641,9643) = 92968163

LCM of 9641 and 9643

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

LCM of:
and

Least Common Multiple of 9641 and 9643

LCM of 9641 and 9643 is 92968163

Least common multiple can be found by multiplying the highest exponent prime factors of 9641 and 9643. First we will calculate the prime factors of 9641 and 9643.

Prime Factorization of 9641


31 9641
311 311
1

Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:

9641 = 311×3111

Prime Factorization of 9643


9643 9643
1

Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:

9643 = 96431

Now multiplying the highest exponent prime factors to calculate the LCM of 9641 and 9643.

LCM(9641,9643) = 311×3111×96431
LCM(9641,9643) = 92968163

Factors of 9641

List of positive integer factors of 9641 that divides 9641 without a remainder.

1, 31, 311, 9641

Factors of 9643

List of positive integer factors of 9643 that divides 9643 without a remainder.

1, 9643

Least Common Multiple of 9641 and 9643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9641 and 9643, than apply into the LCM equation.

GCF(9641,9643) = 1
LCM(9641,9643) = ( 9641 × 9643) / 1
LCM(9641,9643) = 92968163 / 1
LCM(9641,9643) = 92968163

Properties of LCM 9641 and 9643

(i) The LCM of 9643 and 9641 is associative

LCM of 9641 and 9643 = LCM of 9643 and 9641

Related Least Common Multiples of 9641

Related Least Common Multiples of 9643

Frequently Asked Questions on LCM of 9641 and 9643

1. What is the LCM of 9641 and 9643?

Answer: LCM of 9641 and 9643 is 92968163.

2. What are the Factors of 9641?

Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.

3. What are the Factors of 9643?

Answer: Factors of 9643 are 1, 9643. There are 2 integers that are factors of 9643. The greatest factor of 9643 is 9643.

4. How to Find the LCM of 9641 and 9643?

Answer:

Least Common Multiple of 9641 and 9643 = 92968163

Step 1: Find the prime factorization of 9641

9641 = 31 x 311

Step 2: Find the prime factorization of 9643

9643 = 9643

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

LCM = 92968163 = 31 x 311 x 9643

Step 4: Therefore, the least common multiple of 9641 and 9643 is 92968163.