Least Common Multiple of 9658 and 9663

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 9663 the smallest integer that is 93325254 that is divisible by both numbers.

Least Common Multiple (LCM) of 9658 and 9663 is 93325254.

LCM(9658,9663) = 93325254

LCM of 9658 and 9663

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

LCM of:
and

Least Common Multiple of 9658 and 9663

LCM of 9658 and 9663 is 93325254

Least common multiple can be found by multiplying the highest exponent prime factors of 9658 and 9663. First we will calculate the prime factors of 9658 and 9663.

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 9663


3 9663
3221 3221
1

Prime factors of 9663 are 3,3221. Prime factorization of 9663 in exponential form is:

9663 = 31×32211

Now multiplying the highest exponent prime factors to calculate the LCM of 9658 and 9663.

LCM(9658,9663) = 21×31×111×4391×32211
LCM(9658,9663) = 93325254

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 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1, 3, 3221, 9663

Least Common Multiple of 9658 and 9663 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 9663, than apply into the LCM equation.

GCF(9658,9663) = 1
LCM(9658,9663) = ( 9658 × 9663) / 1
LCM(9658,9663) = 93325254 / 1
LCM(9658,9663) = 93325254

Properties of LCM 9658 and 9663

(i) The LCM of 9663 and 9658 is associative

LCM of 9658 and 9663 = LCM of 9663 and 9658

Related Least Common Multiples of 9658

Related Least Common Multiples of 9663

Frequently Asked Questions on LCM of 9658 and 9663

1. What is the LCM of 9658 and 9663?

Answer: LCM of 9658 and 9663 is 93325254.

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 9663?

Answer: Factors of 9663 are 1, 3, 3221, 9663. There are 4 integers that are factors of 9663. The greatest factor of 9663 is 9663.

4. How to Find the LCM of 9658 and 9663?

Answer:

Least Common Multiple of 9658 and 9663 = 93325254

Step 1: Find the prime factorization of 9658

9658 = 2 x 11 x 439

Step 2: Find the prime factorization of 9663

9663 = 3 x 3221

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

LCM = 93325254 = 2 x 3 x 11 x 439 x 3221

Step 4: Therefore, the least common multiple of 9658 and 9663 is 93325254.