Least Common Multiple of 9657 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 9657 and 9663 the smallest integer that is 31105197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9657 and 9663 is 31105197.

LCM(9657,9663) = 31105197

LCM of 9657 and 9663

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

LCM of:
and

Least Common Multiple of 9657 and 9663

LCM of 9657 and 9663 is 31105197

Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9663. First we will calculate the prime factors of 9657 and 9663.

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 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 9657 and 9663.

LCM(9657,9663) = 32×291×371×32211
LCM(9657,9663) = 31105197

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 9663

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

1, 3, 3221, 9663

Least Common Multiple of 9657 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 9657 and 9663, than apply into the LCM equation.

GCF(9657,9663) = 3
LCM(9657,9663) = ( 9657 × 9663) / 3
LCM(9657,9663) = 93315591 / 3
LCM(9657,9663) = 31105197

Properties of LCM 9657 and 9663

(i) The LCM of 9663 and 9657 is associative

LCM of 9657 and 9663 = LCM of 9663 and 9657

Related Least Common Multiples of 9657

Related Least Common Multiples of 9663

Frequently Asked Questions on LCM of 9657 and 9663

1. What is the LCM of 9657 and 9663?

Answer: LCM of 9657 and 9663 is 31105197.

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 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 9657 and 9663?

Answer:

Least Common Multiple of 9657 and 9663 = 31105197

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

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 = 31105197 = 3 x 3 x 29 x 37 x 3221

Step 4: Therefore, the least common multiple of 9657 and 9663 is 31105197.