Least Common Multiple of 9634 and 9641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9634 and 9641 the smallest integer that is 92881394 that is divisible by both numbers.

Least Common Multiple (LCM) of 9634 and 9641 is 92881394.

LCM(9634,9641) = 92881394

LCM of 9634 and 9641

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

LCM of:
and

Least Common Multiple of 9634 and 9641

LCM of 9634 and 9641 is 92881394

Least common multiple can be found by multiplying the highest exponent prime factors of 9634 and 9641. First we will calculate the prime factors of 9634 and 9641.

Prime Factorization of 9634


2 9634
4817 4817
1

Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:

9634 = 21×48171

Prime Factorization of 9641


31 9641
311 311
1

Prime factors of 9641 are 31,311. Prime factorization of 9641 in exponential form is:

9641 = 311×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 9634 and 9641.

LCM(9634,9641) = 21×311×3111×48171
LCM(9634,9641) = 92881394

Factors of 9634

List of positive integer factors of 9634 that divides 9634 without a remainder.

1, 2, 4817, 9634

Factors of 9641

List of positive integer factors of 9641 that divides 9641 without a remainder.

1, 31, 311, 9641

Least Common Multiple of 9634 and 9641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9634 and 9641, than apply into the LCM equation.

GCF(9634,9641) = 1
LCM(9634,9641) = ( 9634 × 9641) / 1
LCM(9634,9641) = 92881394 / 1
LCM(9634,9641) = 92881394

Properties of LCM 9634 and 9641

(i) The LCM of 9641 and 9634 is associative

LCM of 9634 and 9641 = LCM of 9641 and 9634

Related Least Common Multiples of 9634

Related Least Common Multiples of 9641

Frequently Asked Questions on LCM of 9634 and 9641

1. What is the LCM of 9634 and 9641?

Answer: LCM of 9634 and 9641 is 92881394.

2. What are the Factors of 9634?

Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.

3. What are the Factors of 9641?

Answer: Factors of 9641 are 1, 31, 311, 9641. There are 4 integers that are factors of 9641. The greatest factor of 9641 is 9641.

4. How to Find the LCM of 9634 and 9641?

Answer:

Least Common Multiple of 9634 and 9641 = 92881394

Step 1: Find the prime factorization of 9634

9634 = 2 x 4817

Step 2: Find the prime factorization of 9641

9641 = 31 x 311

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

LCM = 92881394 = 2 x 31 x 311 x 4817

Step 4: Therefore, the least common multiple of 9634 and 9641 is 92881394.