Least Common Multiple of 9655 and 9657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9655 and 9657 the smallest integer that is 93238335 that is divisible by both numbers.

Least Common Multiple (LCM) of 9655 and 9657 is 93238335.

LCM(9655,9657) = 93238335

LCM of 9655 and 9657

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

LCM of:
and

Least Common Multiple of 9655 and 9657

LCM of 9655 and 9657 is 93238335

Least common multiple can be found by multiplying the highest exponent prime factors of 9655 and 9657. First we will calculate the prime factors of 9655 and 9657.

Prime Factorization of 9655


5 9655
1931 1931
1

Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:

9655 = 51×19311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9655 and 9657.

LCM(9655,9657) = 32×51×291×371×19311
LCM(9655,9657) = 93238335

Factors of 9655

List of positive integer factors of 9655 that divides 9655 without a remainder.

1, 5, 1931, 9655

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

Least Common Multiple of 9655 and 9657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9655 and 9657, than apply into the LCM equation.

GCF(9655,9657) = 1
LCM(9655,9657) = ( 9655 × 9657) / 1
LCM(9655,9657) = 93238335 / 1
LCM(9655,9657) = 93238335

Properties of LCM 9655 and 9657

(i) The LCM of 9657 and 9655 is associative

LCM of 9655 and 9657 = LCM of 9657 and 9655

Related Least Common Multiples of 9655

Related Least Common Multiples of 9657

Frequently Asked Questions on LCM of 9655 and 9657

1. What is the LCM of 9655 and 9657?

Answer: LCM of 9655 and 9657 is 93238335.

2. What are the Factors of 9655?

Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.

3. 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.

4. How to Find the LCM of 9655 and 9657?

Answer:

Least Common Multiple of 9655 and 9657 = 93238335

Step 1: Find the prime factorization of 9655

9655 = 5 x 1931

Step 2: Find the prime factorization of 9657

9657 = 3 x 3 x 29 x 37

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

LCM = 93238335 = 3 x 3 x 5 x 29 x 37 x 1931

Step 4: Therefore, the least common multiple of 9655 and 9657 is 93238335.