Least Common Multiple of 9665 and 9667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9665 and 9667 the smallest integer that is 93431555 that is divisible by both numbers.

Least Common Multiple (LCM) of 9665 and 9667 is 93431555.

LCM(9665,9667) = 93431555

LCM of 9665 and 9667

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

LCM of:
and

Least Common Multiple of 9665 and 9667

LCM of 9665 and 9667 is 93431555

Least common multiple can be found by multiplying the highest exponent prime factors of 9665 and 9667. First we will calculate the prime factors of 9665 and 9667.

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

Prime Factorization of 9667


7 9667
1381 1381
1

Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:

9667 = 71×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 9665 and 9667.

LCM(9665,9667) = 51×71×13811×19331
LCM(9665,9667) = 93431555

Factors of 9665

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

1, 5, 1933, 9665

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1, 7, 1381, 9667

Least Common Multiple of 9665 and 9667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9665 and 9667, than apply into the LCM equation.

GCF(9665,9667) = 1
LCM(9665,9667) = ( 9665 × 9667) / 1
LCM(9665,9667) = 93431555 / 1
LCM(9665,9667) = 93431555

Properties of LCM 9665 and 9667

(i) The LCM of 9667 and 9665 is associative

LCM of 9665 and 9667 = LCM of 9667 and 9665

Related Least Common Multiples of 9665

Related Least Common Multiples of 9667

Frequently Asked Questions on LCM of 9665 and 9667

1. What is the LCM of 9665 and 9667?

Answer: LCM of 9665 and 9667 is 93431555.

2. 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.

3. What are the Factors of 9667?

Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.

4. How to Find the LCM of 9665 and 9667?

Answer:

Least Common Multiple of 9665 and 9667 = 93431555

Step 1: Find the prime factorization of 9665

9665 = 5 x 1933

Step 2: Find the prime factorization of 9667

9667 = 7 x 1381

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

LCM = 93431555 = 5 x 7 x 1381 x 1933

Step 4: Therefore, the least common multiple of 9665 and 9667 is 93431555.