Least Common Multiple of 9624 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 9624 and 9631 the smallest integer that is 92688744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9624 and 9631 is 92688744.

LCM(9624,9631) = 92688744

LCM of 9624 and 9631

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

LCM of:
and

Least Common Multiple of 9624 and 9631

LCM of 9624 and 9631 is 92688744

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9631. First we will calculate the prime factors of 9624 and 9631.

Prime Factorization of 9624


2 9624
2 4812
2 2406
3 1203
401 401
1

Prime factors of 9624 are 2, 3,401. Prime factorization of 9624 in exponential form is:

9624 = 23×31×4011

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 9624 and 9631.

LCM(9624,9631) = 23×31×4011×96311
LCM(9624,9631) = 92688744

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624

Factors of 9631

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

1, 9631

Least Common Multiple of 9624 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 9624 and 9631, than apply into the LCM equation.

GCF(9624,9631) = 1
LCM(9624,9631) = ( 9624 × 9631) / 1
LCM(9624,9631) = 92688744 / 1
LCM(9624,9631) = 92688744

Properties of LCM 9624 and 9631

(i) The LCM of 9631 and 9624 is associative

LCM of 9624 and 9631 = LCM of 9631 and 9624

Related Least Common Multiples of 9624

Related Least Common Multiples of 9631

Frequently Asked Questions on LCM of 9624 and 9631

1. What is the LCM of 9624 and 9631?

Answer: LCM of 9624 and 9631 is 92688744.

2. What are the Factors of 9624?

Answer: Factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624. There are 16 integers that are factors of 9624. The greatest factor of 9624 is 9624.

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 9624 and 9631?

Answer:

Least Common Multiple of 9624 and 9631 = 92688744

Step 1: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

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 = 92688744 = 2 x 2 x 2 x 3 x 401 x 9631

Step 4: Therefore, the least common multiple of 9624 and 9631 is 92688744.