Least Common Multiple of 9661 and 9665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9661 and 9665 the smallest integer that is 93373565 that is divisible by both numbers.

Least Common Multiple (LCM) of 9661 and 9665 is 93373565.

LCM(9661,9665) = 93373565

LCM of 9661 and 9665

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

LCM of:
and

Least Common Multiple of 9661 and 9665

LCM of 9661 and 9665 is 93373565

Least common multiple can be found by multiplying the highest exponent prime factors of 9661 and 9665. First we will calculate the prime factors of 9661 and 9665.

Prime Factorization of 9661


9661 9661
1

Prime factors of 9661 are 9661. Prime factorization of 9661 in exponential form is:

9661 = 96611

Prime Factorization of 9665


5 9665
1933 1933
1

Prime factors of 9665 are 5,1933. Prime factorization of 9665 in exponential form is:

9665 = 51×19331

Now multiplying the highest exponent prime factors to calculate the LCM of 9661 and 9665.

LCM(9661,9665) = 51×19331×96611
LCM(9661,9665) = 93373565

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1, 9661

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1, 5, 1933, 9665

Least Common Multiple of 9661 and 9665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9661 and 9665, than apply into the LCM equation.

GCF(9661,9665) = 1
LCM(9661,9665) = ( 9661 × 9665) / 1
LCM(9661,9665) = 93373565 / 1
LCM(9661,9665) = 93373565

Properties of LCM 9661 and 9665

(i) The LCM of 9665 and 9661 is associative

LCM of 9661 and 9665 = LCM of 9665 and 9661

Related Least Common Multiples of 9661

Related Least Common Multiples of 9665

Frequently Asked Questions on LCM of 9661 and 9665

1. What is the LCM of 9661 and 9665?

Answer: LCM of 9661 and 9665 is 93373565.

2. What are the Factors of 9661?

Answer: Factors of 9661 are 1, 9661. There are 2 integers that are factors of 9661. The greatest factor of 9661 is 9661.

3. What are the Factors of 9665?

Answer: Factors of 9665 are 1, 5, 1933, 9665. There are 4 integers that are factors of 9665. The greatest factor of 9665 is 9665.

4. How to Find the LCM of 9661 and 9665?

Answer:

Least Common Multiple of 9661 and 9665 = 93373565

Step 1: Find the prime factorization of 9661

9661 = 9661

Step 2: Find the prime factorization of 9665

9665 = 5 x 1933

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

LCM = 93373565 = 5 x 1933 x 9661

Step 4: Therefore, the least common multiple of 9661 and 9665 is 93373565.