Least Common Multiple of 9624 and 9629

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 9629 the smallest integer that is 92669496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9624 and 9629 is 92669496.

LCM(9624,9629) = 92669496

LCM of 9624 and 9629

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

LCM of:
and

Least Common Multiple of 9624 and 9629

LCM of 9624 and 9629 is 92669496

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9629. First we will calculate the prime factors of 9624 and 9629.

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 9629


9629 9629
1

Prime factors of 9629 are 9629. Prime factorization of 9629 in exponential form is:

9629 = 96291

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9629.

LCM(9624,9629) = 23×31×4011×96291
LCM(9624,9629) = 92669496

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 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1, 9629

Least Common Multiple of 9624 and 9629 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 9629, than apply into the LCM equation.

GCF(9624,9629) = 1
LCM(9624,9629) = ( 9624 × 9629) / 1
LCM(9624,9629) = 92669496 / 1
LCM(9624,9629) = 92669496

Properties of LCM 9624 and 9629

(i) The LCM of 9629 and 9624 is associative

LCM of 9624 and 9629 = LCM of 9629 and 9624

Related Least Common Multiples of 9624

Related Least Common Multiples of 9629

Frequently Asked Questions on LCM of 9624 and 9629

1. What is the LCM of 9624 and 9629?

Answer: LCM of 9624 and 9629 is 92669496.

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 9629?

Answer: Factors of 9629 are 1, 9629. There are 2 integers that are factors of 9629. The greatest factor of 9629 is 9629.

4. How to Find the LCM of 9624 and 9629?

Answer:

Least Common Multiple of 9624 and 9629 = 92669496

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 9629

9629 = 9629

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

LCM = 92669496 = 2 x 2 x 2 x 3 x 401 x 9629

Step 4: Therefore, the least common multiple of 9624 and 9629 is 92669496.