Least Common Multiple of 9666 and 9672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9666 and 9672 the smallest integer that is 15581592 that is divisible by both numbers.

Least Common Multiple (LCM) of 9666 and 9672 is 15581592.

LCM(9666,9672) = 15581592

LCM of 9666 and 9672

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

LCM of:
and

Least Common Multiple of 9666 and 9672

LCM of 9666 and 9672 is 15581592

Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9672. First we will calculate the prime factors of 9666 and 9672.

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

Prime Factorization of 9672


2 9672
2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 9672 are 2, 3, 13,31. Prime factorization of 9672 in exponential form is:

9672 = 23×31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9666 and 9672.

LCM(9666,9672) = 23×33×131×311×1791
LCM(9666,9672) = 15581592

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

Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672

Least Common Multiple of 9666 and 9672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9666 and 9672, than apply into the LCM equation.

GCF(9666,9672) = 6
LCM(9666,9672) = ( 9666 × 9672) / 6
LCM(9666,9672) = 93489552 / 6
LCM(9666,9672) = 15581592

Properties of LCM 9666 and 9672

(i) The LCM of 9672 and 9666 is associative

LCM of 9666 and 9672 = LCM of 9672 and 9666

Related Least Common Multiples of 9666

Related Least Common Multiples of 9672

Frequently Asked Questions on LCM of 9666 and 9672

1. What is the LCM of 9666 and 9672?

Answer: LCM of 9666 and 9672 is 15581592.

2. 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.

3. What are the Factors of 9672?

Answer: Factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. There are 32 integers that are factors of 9672. The greatest factor of 9672 is 9672.

4. How to Find the LCM of 9666 and 9672?

Answer:

Least Common Multiple of 9666 and 9672 = 15581592

Step 1: Find the prime factorization of 9666

9666 = 2 x 3 x 3 x 3 x 179

Step 2: Find the prime factorization of 9672

9672 = 2 x 2 x 2 x 3 x 13 x 31

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

LCM = 15581592 = 2 x 2 x 2 x 3 x 3 x 3 x 13 x 31 x 179

Step 4: Therefore, the least common multiple of 9666 and 9672 is 15581592.