Least Common Multiple of 9664 and 9668

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 9668 the smallest integer that is 23357888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9664 and 9668 is 23357888.

LCM(9664,9668) = 23357888

LCM of 9664 and 9668

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

LCM of:
and

Least Common Multiple of 9664 and 9668

LCM of 9664 and 9668 is 23357888

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9668. First we will calculate the prime factors of 9664 and 9668.

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 9668


2 9668
2 4834
2417 2417
1

Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:

9668 = 22×24171

Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9668.

LCM(9664,9668) = 26×1511×24171
LCM(9664,9668) = 23357888

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 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1, 2, 4, 2417, 4834, 9668

Least Common Multiple of 9664 and 9668 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 9668, than apply into the LCM equation.

GCF(9664,9668) = 4
LCM(9664,9668) = ( 9664 × 9668) / 4
LCM(9664,9668) = 93431552 / 4
LCM(9664,9668) = 23357888

Properties of LCM 9664 and 9668

(i) The LCM of 9668 and 9664 is associative

LCM of 9664 and 9668 = LCM of 9668 and 9664

Related Least Common Multiples of 9664

Related Least Common Multiples of 9668

Frequently Asked Questions on LCM of 9664 and 9668

1. What is the LCM of 9664 and 9668?

Answer: LCM of 9664 and 9668 is 23357888.

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 9668?

Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.

4. How to Find the LCM of 9664 and 9668?

Answer:

Least Common Multiple of 9664 and 9668 = 23357888

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 9668

9668 = 2 x 2 x 2417

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

LCM = 23357888 = 2 x 2 x 2 x 2 x 2 x 2 x 151 x 2417

Step 4: Therefore, the least common multiple of 9664 and 9668 is 23357888.