Least Common Multiple of 9664 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 9664 and 9672 the smallest integer that is 11683776 that is divisible by both numbers.

Least Common Multiple (LCM) of 9664 and 9672 is 11683776.

LCM(9664,9672) = 11683776

LCM of 9664 and 9672

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

LCM of:
and

Least Common Multiple of 9664 and 9672

LCM of 9664 and 9672 is 11683776

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9672. First we will calculate the prime factors of 9664 and 9672.

Prime Factorization of 9664


2 9664
2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 9664 are 2,151. Prime factorization of 9664 in exponential form is:

9664 = 26×1511

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 9664 and 9672.

LCM(9664,9672) = 26×31×131×311×1511
LCM(9664,9672) = 11683776

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

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 9664 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 9664 and 9672, than apply into the LCM equation.

GCF(9664,9672) = 8
LCM(9664,9672) = ( 9664 × 9672) / 8
LCM(9664,9672) = 93470208 / 8
LCM(9664,9672) = 11683776

Properties of LCM 9664 and 9672

(i) The LCM of 9672 and 9664 is associative

LCM of 9664 and 9672 = LCM of 9672 and 9664

Related Least Common Multiples of 9664

Related Least Common Multiples of 9672

Frequently Asked Questions on LCM of 9664 and 9672

1. What is the LCM of 9664 and 9672?

Answer: LCM of 9664 and 9672 is 11683776.

2. What are the Factors of 9664?

Answer: Factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664. There are 14 integers that are factors of 9664. The greatest factor of 9664 is 9664.

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 9664 and 9672?

Answer:

Least Common Multiple of 9664 and 9672 = 11683776

Step 1: Find the prime factorization of 9664

9664 = 2 x 2 x 2 x 2 x 2 x 2 x 151

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 = 11683776 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 31 x 151

Step 4: Therefore, the least common multiple of 9664 and 9672 is 11683776.