Least Common Multiple of 9655 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 9655 and 9660 the smallest integer that is 18653460 that is divisible by both numbers.

Least Common Multiple (LCM) of 9655 and 9660 is 18653460.

LCM(9655,9660) = 18653460

LCM of 9655 and 9660

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

LCM of:
and

Least Common Multiple of 9655 and 9660

LCM of 9655 and 9660 is 18653460

Least common multiple can be found by multiplying the highest exponent prime factors of 9655 and 9660. First we will calculate the prime factors of 9655 and 9660.

Prime Factorization of 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

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 9655 and 9660.

LCM(9655,9660) = 22×31×51×71×231×19311
LCM(9655,9660) = 18653460

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931, 9655

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 9655 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 9655 and 9660, than apply into the LCM equation.

GCF(9655,9660) = 5
LCM(9655,9660) = ( 9655 × 9660) / 5
LCM(9655,9660) = 93267300 / 5
LCM(9655,9660) = 18653460

Properties of LCM 9655 and 9660

(i) The LCM of 9660 and 9655 is associative

LCM of 9655 and 9660 = LCM of 9660 and 9655

Related Least Common Multiples of 9655

Related Least Common Multiples of 9660

Frequently Asked Questions on LCM of 9655 and 9660

1. What is the LCM of 9655 and 9660?

Answer: LCM of 9655 and 9660 is 18653460.

2. What are the Factors of 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

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 9655 and 9660?

Answer:

Least Common Multiple of 9655 and 9660 = 18653460

Step 1: Find the prime factorization of 9655

9655 = 5 x 1931

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 = 18653460 = 2 x 2 x 3 x 5 x 7 x 23 x 1931

Step 4: Therefore, the least common multiple of 9655 and 9660 is 18653460.