Least Common Multiple of 9657 and 9661

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 9661 the smallest integer that is 93296277 that is divisible by both numbers.

Least Common Multiple (LCM) of 9657 and 9661 is 93296277.

LCM(9657,9661) = 93296277

LCM of 9657 and 9661

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

LCM of:
and

Least Common Multiple of 9657 and 9661

LCM of 9657 and 9661 is 93296277

Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9661. First we will calculate the prime factors of 9657 and 9661.

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 9661


9661 9661
1

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

9661 = 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 9657 and 9661.

LCM(9657,9661) = 32×291×371×96611
LCM(9657,9661) = 93296277

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 9661

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

1, 9661

Least Common Multiple of 9657 and 9661 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 9661, than apply into the LCM equation.

GCF(9657,9661) = 1
LCM(9657,9661) = ( 9657 × 9661) / 1
LCM(9657,9661) = 93296277 / 1
LCM(9657,9661) = 93296277

Properties of LCM 9657 and 9661

(i) The LCM of 9661 and 9657 is associative

LCM of 9657 and 9661 = LCM of 9661 and 9657

Related Least Common Multiples of 9657

Related Least Common Multiples of 9661

Frequently Asked Questions on LCM of 9657 and 9661

1. What is the LCM of 9657 and 9661?

Answer: LCM of 9657 and 9661 is 93296277.

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 9661?

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

4. How to Find the LCM of 9657 and 9661?

Answer:

Least Common Multiple of 9657 and 9661 = 93296277

Step 1: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

Step 2: Find the prime factorization of 9661

9661 = 9661

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

LCM = 93296277 = 3 x 3 x 29 x 37 x 9661

Step 4: Therefore, the least common multiple of 9657 and 9661 is 93296277.