Least Common Multiple of 9641 and 9647

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 9647 the smallest integer that is 93006727 that is divisible by both numbers.

Least Common Multiple (LCM) of 9641 and 9647 is 93006727.

LCM(9641,9647) = 93006727

LCM of 9641 and 9647

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

LCM of:
and

Least Common Multiple of 9641 and 9647

LCM of 9641 and 9647 is 93006727

Least common multiple can be found by multiplying the highest exponent prime factors of 9641 and 9647. First we will calculate the prime factors of 9641 and 9647.

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 9647


11 9647
877 877
1

Prime factors of 9647 are 11,877. Prime factorization of 9647 in exponential form is:

9647 = 111×8771

Now multiplying the highest exponent prime factors to calculate the LCM of 9641 and 9647.

LCM(9641,9647) = 111×311×3111×8771
LCM(9641,9647) = 93006727

Factors of 9641

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

1, 31, 311, 9641

Factors of 9647

List of positive integer factors of 9647 that divides 9647 without a remainder.

1, 11, 877, 9647

Least Common Multiple of 9641 and 9647 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 9647, than apply into the LCM equation.

GCF(9641,9647) = 1
LCM(9641,9647) = ( 9641 × 9647) / 1
LCM(9641,9647) = 93006727 / 1
LCM(9641,9647) = 93006727

Properties of LCM 9641 and 9647

(i) The LCM of 9647 and 9641 is associative

LCM of 9641 and 9647 = LCM of 9647 and 9641

Related Least Common Multiples of 9641

Related Least Common Multiples of 9647

Frequently Asked Questions on LCM of 9641 and 9647

1. What is the LCM of 9641 and 9647?

Answer: LCM of 9641 and 9647 is 93006727.

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 9647?

Answer: Factors of 9647 are 1, 11, 877, 9647. There are 4 integers that are factors of 9647. The greatest factor of 9647 is 9647.

4. How to Find the LCM of 9641 and 9647?

Answer:

Least Common Multiple of 9641 and 9647 = 93006727

Step 1: Find the prime factorization of 9641

9641 = 31 x 311

Step 2: Find the prime factorization of 9647

9647 = 11 x 877

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

LCM = 93006727 = 11 x 31 x 311 x 877

Step 4: Therefore, the least common multiple of 9641 and 9647 is 93006727.