Least Common Multiple of 9668 and 9675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9668 and 9675 the smallest integer that is 93537900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9668 and 9675 is 93537900.

LCM(9668,9675) = 93537900

LCM of 9668 and 9675

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

LCM of:
and

Least Common Multiple of 9668 and 9675

LCM of 9668 and 9675 is 93537900

Least common multiple can be found by multiplying the highest exponent prime factors of 9668 and 9675. First we will calculate the prime factors of 9668 and 9675.

Prime Factorization of 9668


2 9668
2 4834
2417 2417
1

Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:

9668 = 22×24171

Prime Factorization of 9675


3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 9675 are 3, 5,43. Prime factorization of 9675 in exponential form is:

9675 = 32×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9668 and 9675.

LCM(9668,9675) = 22×32×52×431×24171
LCM(9668,9675) = 93537900

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1, 2, 4, 2417, 4834, 9668

Factors of 9675

List of positive integer factors of 9675 that divides 9675 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675

Least Common Multiple of 9668 and 9675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9668 and 9675, than apply into the LCM equation.

GCF(9668,9675) = 1
LCM(9668,9675) = ( 9668 × 9675) / 1
LCM(9668,9675) = 93537900 / 1
LCM(9668,9675) = 93537900

Properties of LCM 9668 and 9675

(i) The LCM of 9675 and 9668 is associative

LCM of 9668 and 9675 = LCM of 9675 and 9668

Related Least Common Multiples of 9668

Related Least Common Multiples of 9675

Frequently Asked Questions on LCM of 9668 and 9675

1. What is the LCM of 9668 and 9675?

Answer: LCM of 9668 and 9675 is 93537900.

2. What are the Factors of 9668?

Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.

3. What are the Factors of 9675?

Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.

4. How to Find the LCM of 9668 and 9675?

Answer:

Least Common Multiple of 9668 and 9675 = 93537900

Step 1: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

Step 2: Find the prime factorization of 9675

9675 = 3 x 3 x 5 x 5 x 43

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

LCM = 93537900 = 2 x 2 x 3 x 3 x 5 x 5 x 43 x 2417

Step 4: Therefore, the least common multiple of 9668 and 9675 is 93537900.