Least Common Multiple of 9657 and 9664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9657 and 9664 the smallest integer that is 93325248 that is divisible by both numbers.

Least Common Multiple (LCM) of 9657 and 9664 is 93325248.

LCM(9657,9664) = 93325248

LCM of 9657 and 9664

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

LCM of:
and

Least Common Multiple of 9657 and 9664

LCM of 9657 and 9664 is 93325248

Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9664. First we will calculate the prime factors of 9657 and 9664.

Prime Factorization of 9657


3 9657
3 3219
29 1073
37 37
1

Prime factors of 9657 are 3, 29,37. Prime factorization of 9657 in exponential form is:

9657 = 32×291×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9657 and 9664.

LCM(9657,9664) = 26×32×291×371×1511
LCM(9657,9664) = 93325248

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657

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

Least Common Multiple of 9657 and 9664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9657 and 9664, than apply into the LCM equation.

GCF(9657,9664) = 1
LCM(9657,9664) = ( 9657 × 9664) / 1
LCM(9657,9664) = 93325248 / 1
LCM(9657,9664) = 93325248

Properties of LCM 9657 and 9664

(i) The LCM of 9664 and 9657 is associative

LCM of 9657 and 9664 = LCM of 9664 and 9657

Related Least Common Multiples of 9657

Related Least Common Multiples of 9664

Frequently Asked Questions on LCM of 9657 and 9664

1. What is the LCM of 9657 and 9664?

Answer: LCM of 9657 and 9664 is 93325248.

2. What are the Factors of 9657?

Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.

3. 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.

4. How to Find the LCM of 9657 and 9664?

Answer:

Least Common Multiple of 9657 and 9664 = 93325248

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9664

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

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

LCM = 93325248 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 37 x 151

Step 4: Therefore, the least common multiple of 9657 and 9664 is 93325248.