Least Common Multiple of 9660 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 9660 and 9665 the smallest integer that is 18672780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9660 and 9665 is 18672780.

LCM(9660,9665) = 18672780

LCM of 9660 and 9665

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

LCM of:
and

Least Common Multiple of 9660 and 9665

LCM of 9660 and 9665 is 18672780

Least common multiple can be found by multiplying the highest exponent prime factors of 9660 and 9665. First we will calculate the prime factors of 9660 and 9665.

Prime Factorization of 9660


2 9660
2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 9660 are 2, 3, 5, 7,23. Prime factorization of 9660 in exponential form is:

9660 = 22×31×51×71×231

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 9660 and 9665.

LCM(9660,9665) = 22×31×51×71×231×19331
LCM(9660,9665) = 18672780

Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660

Factors of 9665

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

1, 5, 1933, 9665

Least Common Multiple of 9660 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 9660 and 9665, than apply into the LCM equation.

GCF(9660,9665) = 5
LCM(9660,9665) = ( 9660 × 9665) / 5
LCM(9660,9665) = 93363900 / 5
LCM(9660,9665) = 18672780

Properties of LCM 9660 and 9665

(i) The LCM of 9665 and 9660 is associative

LCM of 9660 and 9665 = LCM of 9665 and 9660

Related Least Common Multiples of 9660

Related Least Common Multiples of 9665

Frequently Asked Questions on LCM of 9660 and 9665

1. What is the LCM of 9660 and 9665?

Answer: LCM of 9660 and 9665 is 18672780.

2. What are the Factors of 9660?

Answer: Factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. There are 48 integers that are factors of 9660. The greatest factor of 9660 is 9660.

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 9660 and 9665?

Answer:

Least Common Multiple of 9660 and 9665 = 18672780

Step 1: Find the prime factorization of 9660

9660 = 2 x 2 x 3 x 5 x 7 x 23

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 = 18672780 = 2 x 2 x 3 x 5 x 7 x 23 x 1933

Step 4: Therefore, the least common multiple of 9660 and 9665 is 18672780.