Least Common Multiple of 9661 and 9666

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 9666 the smallest integer that is 93383226 that is divisible by both numbers.

Least Common Multiple (LCM) of 9661 and 9666 is 93383226.

LCM(9661,9666) = 93383226

LCM of 9661 and 9666

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

LCM of:
and

Least Common Multiple of 9661 and 9666

LCM of 9661 and 9666 is 93383226

Least common multiple can be found by multiplying the highest exponent prime factors of 9661 and 9666. First we will calculate the prime factors of 9661 and 9666.

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 9666


2 9666
3 4833
3 1611
3 537
179 179
1

Prime factors of 9666 are 2, 3,179. Prime factorization of 9666 in exponential form is:

9666 = 21×33×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9661 and 9666.

LCM(9661,9666) = 21×33×1791×96611
LCM(9661,9666) = 93383226

Factors of 9661

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

1, 9661

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666

Least Common Multiple of 9661 and 9666 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 9666, than apply into the LCM equation.

GCF(9661,9666) = 1
LCM(9661,9666) = ( 9661 × 9666) / 1
LCM(9661,9666) = 93383226 / 1
LCM(9661,9666) = 93383226

Properties of LCM 9661 and 9666

(i) The LCM of 9666 and 9661 is associative

LCM of 9661 and 9666 = LCM of 9666 and 9661

Related Least Common Multiples of 9661

Related Least Common Multiples of 9666

Frequently Asked Questions on LCM of 9661 and 9666

1. What is the LCM of 9661 and 9666?

Answer: LCM of 9661 and 9666 is 93383226.

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 9666?

Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.

4. How to Find the LCM of 9661 and 9666?

Answer:

Least Common Multiple of 9661 and 9666 = 93383226

Step 1: Find the prime factorization of 9661

9661 = 9661

Step 2: Find the prime factorization of 9666

9666 = 2 x 3 x 3 x 3 x 179

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

LCM = 93383226 = 2 x 3 x 3 x 3 x 179 x 9661

Step 4: Therefore, the least common multiple of 9661 and 9666 is 93383226.