Least Common Multiple of 9631 and 9637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9631 and 9637 the smallest integer that is 92813947 that is divisible by both numbers.

Least Common Multiple (LCM) of 9631 and 9637 is 92813947.

LCM(9631,9637) = 92813947

LCM of 9631 and 9637

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

LCM of:
and

Least Common Multiple of 9631 and 9637

LCM of 9631 and 9637 is 92813947

Least common multiple can be found by multiplying the highest exponent prime factors of 9631 and 9637. First we will calculate the prime factors of 9631 and 9637.

Prime Factorization of 9631


9631 9631
1

Prime factors of 9631 are 9631. Prime factorization of 9631 in exponential form is:

9631 = 96311

Prime Factorization of 9637


23 9637
419 419
1

Prime factors of 9637 are 23,419. Prime factorization of 9637 in exponential form is:

9637 = 231×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 9631 and 9637.

LCM(9631,9637) = 231×4191×96311
LCM(9631,9637) = 92813947

Factors of 9631

List of positive integer factors of 9631 that divides 9631 without a remainder.

1, 9631

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1, 23, 419, 9637

Least Common Multiple of 9631 and 9637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9631 and 9637, than apply into the LCM equation.

GCF(9631,9637) = 1
LCM(9631,9637) = ( 9631 × 9637) / 1
LCM(9631,9637) = 92813947 / 1
LCM(9631,9637) = 92813947

Properties of LCM 9631 and 9637

(i) The LCM of 9637 and 9631 is associative

LCM of 9631 and 9637 = LCM of 9637 and 9631

Related Least Common Multiples of 9631

Related Least Common Multiples of 9637

Frequently Asked Questions on LCM of 9631 and 9637

1. What is the LCM of 9631 and 9637?

Answer: LCM of 9631 and 9637 is 92813947.

2. What are the Factors of 9631?

Answer: Factors of 9631 are 1, 9631. There are 2 integers that are factors of 9631. The greatest factor of 9631 is 9631.

3. What are the Factors of 9637?

Answer: Factors of 9637 are 1, 23, 419, 9637. There are 4 integers that are factors of 9637. The greatest factor of 9637 is 9637.

4. How to Find the LCM of 9631 and 9637?

Answer:

Least Common Multiple of 9631 and 9637 = 92813947

Step 1: Find the prime factorization of 9631

9631 = 9631

Step 2: Find the prime factorization of 9637

9637 = 23 x 419

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

LCM = 92813947 = 23 x 419 x 9631

Step 4: Therefore, the least common multiple of 9631 and 9637 is 92813947.