Least Common Multiple of 9624 and 9626

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 9626 the smallest integer that is 46320312 that is divisible by both numbers.

Least Common Multiple (LCM) of 9624 and 9626 is 46320312.

LCM(9624,9626) = 46320312

LCM of 9624 and 9626

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

LCM of:
and

Least Common Multiple of 9624 and 9626

LCM of 9624 and 9626 is 46320312

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9626. First we will calculate the prime factors of 9624 and 9626.

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 9626


2 9626
4813 4813
1

Prime factors of 9626 are 2,4813. Prime factorization of 9626 in exponential form is:

9626 = 21×48131

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9626.

LCM(9624,9626) = 23×31×4011×48131
LCM(9624,9626) = 46320312

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 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1, 2, 4813, 9626

Least Common Multiple of 9624 and 9626 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 9626, than apply into the LCM equation.

GCF(9624,9626) = 2
LCM(9624,9626) = ( 9624 × 9626) / 2
LCM(9624,9626) = 92640624 / 2
LCM(9624,9626) = 46320312

Properties of LCM 9624 and 9626

(i) The LCM of 9626 and 9624 is associative

LCM of 9624 and 9626 = LCM of 9626 and 9624

Related Least Common Multiples of 9624

Related Least Common Multiples of 9626

Frequently Asked Questions on LCM of 9624 and 9626

1. What is the LCM of 9624 and 9626?

Answer: LCM of 9624 and 9626 is 46320312.

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 9626?

Answer: Factors of 9626 are 1, 2, 4813, 9626. There are 4 integers that are factors of 9626. The greatest factor of 9626 is 9626.

4. How to Find the LCM of 9624 and 9626?

Answer:

Least Common Multiple of 9624 and 9626 = 46320312

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 9626

9626 = 2 x 4813

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

LCM = 46320312 = 2 x 2 x 2 x 3 x 401 x 4813

Step 4: Therefore, the least common multiple of 9624 and 9626 is 46320312.