Least Common Multiple of 9661 and 9668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9661 and 9668 the smallest integer that is 93402548 that is divisible by both numbers.

Least Common Multiple (LCM) of 9661 and 9668 is 93402548.

LCM(9661,9668) = 93402548

LCM of 9661 and 9668

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

LCM of:
and

Least Common Multiple of 9661 and 9668

LCM of 9661 and 9668 is 93402548

Least common multiple can be found by multiplying the highest exponent prime factors of 9661 and 9668. First we will calculate the prime factors of 9661 and 9668.

Prime Factorization of 9661


9661 9661
1

Prime factors of 9661 are 9661. Prime factorization of 9661 in exponential form is:

9661 = 96611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9661 and 9668.

LCM(9661,9668) = 22×24171×96611
LCM(9661,9668) = 93402548

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1, 9661

Factors of 9668

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

1, 2, 4, 2417, 4834, 9668

Least Common Multiple of 9661 and 9668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9661 and 9668, than apply into the LCM equation.

GCF(9661,9668) = 1
LCM(9661,9668) = ( 9661 × 9668) / 1
LCM(9661,9668) = 93402548 / 1
LCM(9661,9668) = 93402548

Properties of LCM 9661 and 9668

(i) The LCM of 9668 and 9661 is associative

LCM of 9661 and 9668 = LCM of 9668 and 9661

Related Least Common Multiples of 9661

Related Least Common Multiples of 9668

Frequently Asked Questions on LCM of 9661 and 9668

1. What is the LCM of 9661 and 9668?

Answer: LCM of 9661 and 9668 is 93402548.

2. What are the Factors of 9661?

Answer: Factors of 9661 are 1, 9661. There are 2 integers that are factors of 9661. The greatest factor of 9661 is 9661.

3. 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.

4. How to Find the LCM of 9661 and 9668?

Answer:

Least Common Multiple of 9661 and 9668 = 93402548

Step 1: Find the prime factorization of 9661

9661 = 9661

Step 2: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

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

LCM = 93402548 = 2 x 2 x 2417 x 9661

Step 4: Therefore, the least common multiple of 9661 and 9668 is 93402548.