Least Common Multiple of 9664 and 9669

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 9669 the smallest integer that is 93441216 that is divisible by both numbers.

Least Common Multiple (LCM) of 9664 and 9669 is 93441216.

LCM(9664,9669) = 93441216

LCM of 9664 and 9669

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

LCM of:
and

Least Common Multiple of 9664 and 9669

LCM of 9664 and 9669 is 93441216

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9669. First we will calculate the prime factors of 9664 and 9669.

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 9669


3 9669
11 3223
293 293
1

Prime factors of 9669 are 3, 11,293. Prime factorization of 9669 in exponential form is:

9669 = 31×111×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9669.

LCM(9664,9669) = 26×31×111×1511×2931
LCM(9664,9669) = 93441216

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 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1, 3, 11, 33, 293, 879, 3223, 9669

Least Common Multiple of 9664 and 9669 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 9669, than apply into the LCM equation.

GCF(9664,9669) = 1
LCM(9664,9669) = ( 9664 × 9669) / 1
LCM(9664,9669) = 93441216 / 1
LCM(9664,9669) = 93441216

Properties of LCM 9664 and 9669

(i) The LCM of 9669 and 9664 is associative

LCM of 9664 and 9669 = LCM of 9669 and 9664

Related Least Common Multiples of 9664

Related Least Common Multiples of 9669

Frequently Asked Questions on LCM of 9664 and 9669

1. What is the LCM of 9664 and 9669?

Answer: LCM of 9664 and 9669 is 93441216.

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 9669?

Answer: Factors of 9669 are 1, 3, 11, 33, 293, 879, 3223, 9669. There are 8 integers that are factors of 9669. The greatest factor of 9669 is 9669.

4. How to Find the LCM of 9664 and 9669?

Answer:

Least Common Multiple of 9664 and 9669 = 93441216

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 9669

9669 = 3 x 11 x 293

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

LCM = 93441216 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 151 x 293

Step 4: Therefore, the least common multiple of 9664 and 9669 is 93441216.