Least Common Multiple of 9653 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 9653 and 9657 the smallest integer that is 93219021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9653 and 9657 is 93219021.

LCM(9653,9657) = 93219021

LCM of 9653 and 9657

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

LCM of:
and

Least Common Multiple of 9653 and 9657

LCM of 9653 and 9657 is 93219021

Least common multiple can be found by multiplying the highest exponent prime factors of 9653 and 9657. First we will calculate the prime factors of 9653 and 9657.

Prime Factorization of 9653


7 9653
7 1379
197 197
1

Prime factors of 9653 are 7,197. Prime factorization of 9653 in exponential form is:

9653 = 72×1971

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 9653 and 9657.

LCM(9653,9657) = 32×72×291×371×1971
LCM(9653,9657) = 93219021

Factors of 9653

List of positive integer factors of 9653 that divides 9653 without a remainder.

1, 7, 49, 197, 1379, 9653

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 9653 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 9653 and 9657, than apply into the LCM equation.

GCF(9653,9657) = 1
LCM(9653,9657) = ( 9653 × 9657) / 1
LCM(9653,9657) = 93219021 / 1
LCM(9653,9657) = 93219021

Properties of LCM 9653 and 9657

(i) The LCM of 9657 and 9653 is associative

LCM of 9653 and 9657 = LCM of 9657 and 9653

Related Least Common Multiples of 9653

Related Least Common Multiples of 9657

Frequently Asked Questions on LCM of 9653 and 9657

1. What is the LCM of 9653 and 9657?

Answer: LCM of 9653 and 9657 is 93219021.

2. What are the Factors of 9653?

Answer: Factors of 9653 are 1, 7, 49, 197, 1379, 9653. There are 6 integers that are factors of 9653. The greatest factor of 9653 is 9653.

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 9653 and 9657?

Answer:

Least Common Multiple of 9653 and 9657 = 93219021

Step 1: Find the prime factorization of 9653

9653 = 7 x 7 x 197

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 = 93219021 = 3 x 3 x 7 x 7 x 29 x 37 x 197

Step 4: Therefore, the least common multiple of 9653 and 9657 is 93219021.