Least Common Multiple of 9660 and 9666

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 9666 the smallest integer that is 15562260 that is divisible by both numbers.

Least Common Multiple (LCM) of 9660 and 9666 is 15562260.

LCM(9660,9666) = 15562260

LCM of 9660 and 9666

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

LCM of:
and

Least Common Multiple of 9660 and 9666

LCM of 9660 and 9666 is 15562260

Least common multiple can be found by multiplying the highest exponent prime factors of 9660 and 9666. First we will calculate the prime factors of 9660 and 9666.

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 9666


2 9666
3 4833
3 1611
3 537
179 179
1

Prime factors of 9666 are 2, 3,179. Prime factorization of 9666 in exponential form is:

9666 = 21×33×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9660 and 9666.

LCM(9660,9666) = 22×33×51×71×231×1791
LCM(9660,9666) = 15562260

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 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666

Least Common Multiple of 9660 and 9666 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 9666, than apply into the LCM equation.

GCF(9660,9666) = 6
LCM(9660,9666) = ( 9660 × 9666) / 6
LCM(9660,9666) = 93373560 / 6
LCM(9660,9666) = 15562260

Properties of LCM 9660 and 9666

(i) The LCM of 9666 and 9660 is associative

LCM of 9660 and 9666 = LCM of 9666 and 9660

Related Least Common Multiples of 9660

Related Least Common Multiples of 9666

Frequently Asked Questions on LCM of 9660 and 9666

1. What is the LCM of 9660 and 9666?

Answer: LCM of 9660 and 9666 is 15562260.

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 9666?

Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.

4. How to Find the LCM of 9660 and 9666?

Answer:

Least Common Multiple of 9660 and 9666 = 15562260

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 9666

9666 = 2 x 3 x 3 x 3 x 179

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

LCM = 15562260 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 179

Step 4: Therefore, the least common multiple of 9660 and 9666 is 15562260.