Least Common Multiple of 9656 and 9660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9656 and 9660 the smallest integer that is 23319240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9656 and 9660 is 23319240.

LCM(9656,9660) = 23319240

LCM of 9656 and 9660

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

LCM of:
and

Least Common Multiple of 9656 and 9660

LCM of 9656 and 9660 is 23319240

Least common multiple can be found by multiplying the highest exponent prime factors of 9656 and 9660. First we will calculate the prime factors of 9656 and 9660.

Prime Factorization of 9656


2 9656
2 4828
2 2414
17 1207
71 71
1

Prime factors of 9656 are 2, 17,71. Prime factorization of 9656 in exponential form is:

9656 = 23×171×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9656 and 9660.

LCM(9656,9660) = 23×31×51×71×171×231×711
LCM(9656,9660) = 23319240

Factors of 9656

List of positive integer factors of 9656 that divides 9656 without a remainder.

1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656

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

Least Common Multiple of 9656 and 9660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9656 and 9660, than apply into the LCM equation.

GCF(9656,9660) = 4
LCM(9656,9660) = ( 9656 × 9660) / 4
LCM(9656,9660) = 93276960 / 4
LCM(9656,9660) = 23319240

Properties of LCM 9656 and 9660

(i) The LCM of 9660 and 9656 is associative

LCM of 9656 and 9660 = LCM of 9660 and 9656

Related Least Common Multiples of 9656

Related Least Common Multiples of 9660

Frequently Asked Questions on LCM of 9656 and 9660

1. What is the LCM of 9656 and 9660?

Answer: LCM of 9656 and 9660 is 23319240.

2. What are the Factors of 9656?

Answer: Factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656. There are 16 integers that are factors of 9656. The greatest factor of 9656 is 9656.

3. 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.

4. How to Find the LCM of 9656 and 9660?

Answer:

Least Common Multiple of 9656 and 9660 = 23319240

Step 1: Find the prime factorization of 9656

9656 = 2 x 2 x 2 x 17 x 71

Step 2: Find the prime factorization of 9660

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

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

LCM = 23319240 = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 23 x 71

Step 4: Therefore, the least common multiple of 9656 and 9660 is 23319240.