Least Common Multiple of 9664 and 9671

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 9671 the smallest integer that is 93460544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9664 and 9671 is 93460544.

LCM(9664,9671) = 93460544

LCM of 9664 and 9671

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

LCM of:
and

Least Common Multiple of 9664 and 9671

LCM of 9664 and 9671 is 93460544

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9671. First we will calculate the prime factors of 9664 and 9671.

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 9671


19 9671
509 509
1

Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:

9671 = 191×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9671.

LCM(9664,9671) = 26×191×1511×5091
LCM(9664,9671) = 93460544

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 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1, 19, 509, 9671

Least Common Multiple of 9664 and 9671 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 9671, than apply into the LCM equation.

GCF(9664,9671) = 1
LCM(9664,9671) = ( 9664 × 9671) / 1
LCM(9664,9671) = 93460544 / 1
LCM(9664,9671) = 93460544

Properties of LCM 9664 and 9671

(i) The LCM of 9671 and 9664 is associative

LCM of 9664 and 9671 = LCM of 9671 and 9664

Related Least Common Multiples of 9664

Related Least Common Multiples of 9671

Frequently Asked Questions on LCM of 9664 and 9671

1. What is the LCM of 9664 and 9671?

Answer: LCM of 9664 and 9671 is 93460544.

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 9671?

Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.

4. How to Find the LCM of 9664 and 9671?

Answer:

Least Common Multiple of 9664 and 9671 = 93460544

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 9671

9671 = 19 x 509

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

LCM = 93460544 = 2 x 2 x 2 x 2 x 2 x 2 x 19 x 151 x 509

Step 4: Therefore, the least common multiple of 9664 and 9671 is 93460544.