Least Common Multiple of 9658 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 9658 and 9664 the smallest integer that is 46667456 that is divisible by both numbers.

Least Common Multiple (LCM) of 9658 and 9664 is 46667456.

LCM(9658,9664) = 46667456

LCM of 9658 and 9664

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

LCM of:
and

Least Common Multiple of 9658 and 9664

LCM of 9658 and 9664 is 46667456

Least common multiple can be found by multiplying the highest exponent prime factors of 9658 and 9664. First we will calculate the prime factors of 9658 and 9664.

Prime Factorization of 9658


2 9658
11 4829
439 439
1

Prime factors of 9658 are 2, 11,439. Prime factorization of 9658 in exponential form is:

9658 = 21×111×4391

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 9658 and 9664.

LCM(9658,9664) = 26×111×1511×4391
LCM(9658,9664) = 46667456

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1, 2, 11, 22, 439, 878, 4829, 9658

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 9658 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 9658 and 9664, than apply into the LCM equation.

GCF(9658,9664) = 2
LCM(9658,9664) = ( 9658 × 9664) / 2
LCM(9658,9664) = 93334912 / 2
LCM(9658,9664) = 46667456

Properties of LCM 9658 and 9664

(i) The LCM of 9664 and 9658 is associative

LCM of 9658 and 9664 = LCM of 9664 and 9658

Related Least Common Multiples of 9658

Related Least Common Multiples of 9664

Frequently Asked Questions on LCM of 9658 and 9664

1. What is the LCM of 9658 and 9664?

Answer: LCM of 9658 and 9664 is 46667456.

2. What are the Factors of 9658?

Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.

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 9658 and 9664?

Answer:

Least Common Multiple of 9658 and 9664 = 46667456

Step 1: Find the prime factorization of 9658

9658 = 2 x 11 x 439

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 = 46667456 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 151 x 439

Step 4: Therefore, the least common multiple of 9658 and 9664 is 46667456.