Least Common Multiple of 9653 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 9653 and 9661 the smallest integer that is 93257633 that is divisible by both numbers.

Least Common Multiple (LCM) of 9653 and 9661 is 93257633.

LCM(9653,9661) = 93257633

LCM of 9653 and 9661

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

LCM of:
and

Least Common Multiple of 9653 and 9661

LCM of 9653 and 9661 is 93257633

Least common multiple can be found by multiplying the highest exponent prime factors of 9653 and 9661. First we will calculate the prime factors of 9653 and 9661.

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 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 9653 and 9661.

LCM(9653,9661) = 72×1971×96611
LCM(9653,9661) = 93257633

Factors of 9653

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

1, 7, 49, 197, 1379, 9653

Factors of 9661

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

1, 9661

Least Common Multiple of 9653 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 9653 and 9661, than apply into the LCM equation.

GCF(9653,9661) = 1
LCM(9653,9661) = ( 9653 × 9661) / 1
LCM(9653,9661) = 93257633 / 1
LCM(9653,9661) = 93257633

Properties of LCM 9653 and 9661

(i) The LCM of 9661 and 9653 is associative

LCM of 9653 and 9661 = LCM of 9661 and 9653

Related Least Common Multiples of 9653

Related Least Common Multiples of 9661

Frequently Asked Questions on LCM of 9653 and 9661

1. What is the LCM of 9653 and 9661?

Answer: LCM of 9653 and 9661 is 93257633.

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 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 9653 and 9661?

Answer:

Least Common Multiple of 9653 and 9661 = 93257633

Step 1: Find the prime factorization of 9653

9653 = 7 x 7 x 197

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 = 93257633 = 7 x 7 x 197 x 9661

Step 4: Therefore, the least common multiple of 9653 and 9661 is 93257633.