Least Common Multiple of 9627 and 9631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9627 and 9631 the smallest integer that is 92717637 that is divisible by both numbers.

Least Common Multiple (LCM) of 9627 and 9631 is 92717637.

LCM(9627,9631) = 92717637

LCM of 9627 and 9631

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

LCM of:
and

Least Common Multiple of 9627 and 9631

LCM of 9627 and 9631 is 92717637

Least common multiple can be found by multiplying the highest exponent prime factors of 9627 and 9631. First we will calculate the prime factors of 9627 and 9631.

Prime Factorization of 9627


3 9627
3209 3209
1

Prime factors of 9627 are 3,3209. Prime factorization of 9627 in exponential form is:

9627 = 31×32091

Prime Factorization of 9631


9631 9631
1

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

9631 = 96311

Now multiplying the highest exponent prime factors to calculate the LCM of 9627 and 9631.

LCM(9627,9631) = 31×32091×96311
LCM(9627,9631) = 92717637

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1, 3, 3209, 9627

Factors of 9631

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

1, 9631

Least Common Multiple of 9627 and 9631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9627 and 9631, than apply into the LCM equation.

GCF(9627,9631) = 1
LCM(9627,9631) = ( 9627 × 9631) / 1
LCM(9627,9631) = 92717637 / 1
LCM(9627,9631) = 92717637

Properties of LCM 9627 and 9631

(i) The LCM of 9631 and 9627 is associative

LCM of 9627 and 9631 = LCM of 9631 and 9627

Related Least Common Multiples of 9627

Related Least Common Multiples of 9631

Frequently Asked Questions on LCM of 9627 and 9631

1. What is the LCM of 9627 and 9631?

Answer: LCM of 9627 and 9631 is 92717637.

2. What are the Factors of 9627?

Answer: Factors of 9627 are 1, 3, 3209, 9627. There are 4 integers that are factors of 9627. The greatest factor of 9627 is 9627.

3. 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.

4. How to Find the LCM of 9627 and 9631?

Answer:

Least Common Multiple of 9627 and 9631 = 92717637

Step 1: Find the prime factorization of 9627

9627 = 3 x 3209

Step 2: Find the prime factorization of 9631

9631 = 9631

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

LCM = 92717637 = 3 x 3209 x 9631

Step 4: Therefore, the least common multiple of 9627 and 9631 is 92717637.