Least Common Multiple of 9668 and 9673

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 9673 the smallest integer that is 93518564 that is divisible by both numbers.

Least Common Multiple (LCM) of 9668 and 9673 is 93518564.

LCM(9668,9673) = 93518564

LCM of 9668 and 9673

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

LCM of:
and

Least Common Multiple of 9668 and 9673

LCM of 9668 and 9673 is 93518564

Least common multiple can be found by multiplying the highest exponent prime factors of 9668 and 9673. First we will calculate the prime factors of 9668 and 9673.

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 9673


17 9673
569 569
1

Prime factors of 9673 are 17,569. Prime factorization of 9673 in exponential form is:

9673 = 171×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 9668 and 9673.

LCM(9668,9673) = 22×171×5691×24171
LCM(9668,9673) = 93518564

Factors of 9668

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

1, 2, 4, 2417, 4834, 9668

Factors of 9673

List of positive integer factors of 9673 that divides 9673 without a remainder.

1, 17, 569, 9673

Least Common Multiple of 9668 and 9673 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 9673, than apply into the LCM equation.

GCF(9668,9673) = 1
LCM(9668,9673) = ( 9668 × 9673) / 1
LCM(9668,9673) = 93518564 / 1
LCM(9668,9673) = 93518564

Properties of LCM 9668 and 9673

(i) The LCM of 9673 and 9668 is associative

LCM of 9668 and 9673 = LCM of 9673 and 9668

Related Least Common Multiples of 9668

Related Least Common Multiples of 9673

Frequently Asked Questions on LCM of 9668 and 9673

1. What is the LCM of 9668 and 9673?

Answer: LCM of 9668 and 9673 is 93518564.

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 9673?

Answer: Factors of 9673 are 1, 17, 569, 9673. There are 4 integers that are factors of 9673. The greatest factor of 9673 is 9673.

4. How to Find the LCM of 9668 and 9673?

Answer:

Least Common Multiple of 9668 and 9673 = 93518564

Step 1: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

Step 2: Find the prime factorization of 9673

9673 = 17 x 569

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

LCM = 93518564 = 2 x 2 x 17 x 569 x 2417

Step 4: Therefore, the least common multiple of 9668 and 9673 is 93518564.