Least Common Multiple of 9660 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 9660 and 9667 the smallest integer that is 13340460 that is divisible by both numbers.

Least Common Multiple (LCM) of 9660 and 9667 is 13340460.

LCM(9660,9667) = 13340460

LCM of 9660 and 9667

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

LCM of:
and

Least Common Multiple of 9660 and 9667

LCM of 9660 and 9667 is 13340460

Least common multiple can be found by multiplying the highest exponent prime factors of 9660 and 9667. First we will calculate the prime factors of 9660 and 9667.

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 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 9660 and 9667.

LCM(9660,9667) = 22×31×51×71×231×13811
LCM(9660,9667) = 13340460

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 9667

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

1, 7, 1381, 9667

Least Common Multiple of 9660 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 9660 and 9667, than apply into the LCM equation.

GCF(9660,9667) = 7
LCM(9660,9667) = ( 9660 × 9667) / 7
LCM(9660,9667) = 93383220 / 7
LCM(9660,9667) = 13340460

Properties of LCM 9660 and 9667

(i) The LCM of 9667 and 9660 is associative

LCM of 9660 and 9667 = LCM of 9667 and 9660

Related Least Common Multiples of 9660

Related Least Common Multiples of 9667

Frequently Asked Questions on LCM of 9660 and 9667

1. What is the LCM of 9660 and 9667?

Answer: LCM of 9660 and 9667 is 13340460.

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 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 9660 and 9667?

Answer:

Least Common Multiple of 9660 and 9667 = 13340460

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 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 = 13340460 = 2 x 2 x 3 x 5 x 7 x 23 x 1381

Step 4: Therefore, the least common multiple of 9660 and 9667 is 13340460.