Least Common Multiple of 9616 and 9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9616 and 9624 the smallest integer that is 11568048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9616 and 9624 is 11568048.

LCM(9616,9624) = 11568048

LCM of 9616 and 9624

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

LCM of:
and

Least Common Multiple of 9616 and 9624

LCM of 9616 and 9624 is 11568048

Least common multiple can be found by multiplying the highest exponent prime factors of 9616 and 9624. First we will calculate the prime factors of 9616 and 9624.

Prime Factorization of 9616


2 9616
2 4808
2 2404
2 1202
601 601
1

Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:

9616 = 24×6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9616 and 9624.

LCM(9616,9624) = 24×31×4011×6011
LCM(9616,9624) = 11568048

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616

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

Least Common Multiple of 9616 and 9624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9616 and 9624, than apply into the LCM equation.

GCF(9616,9624) = 8
LCM(9616,9624) = ( 9616 × 9624) / 8
LCM(9616,9624) = 92544384 / 8
LCM(9616,9624) = 11568048

Properties of LCM 9616 and 9624

(i) The LCM of 9624 and 9616 is associative

LCM of 9616 and 9624 = LCM of 9624 and 9616

Related Least Common Multiples of 9616

Related Least Common Multiples of 9624

Frequently Asked Questions on LCM of 9616 and 9624

1. What is the LCM of 9616 and 9624?

Answer: LCM of 9616 and 9624 is 11568048.

2. What are the Factors of 9616?

Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.

3. 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.

4. How to Find the LCM of 9616 and 9624?

Answer:

Least Common Multiple of 9616 and 9624 = 11568048

Step 1: Find the prime factorization of 9616

9616 = 2 x 2 x 2 x 2 x 601

Step 2: Find the prime factorization of 9624

9624 = 2 x 2 x 2 x 3 x 401

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

LCM = 11568048 = 2 x 2 x 2 x 2 x 3 x 401 x 601

Step 4: Therefore, the least common multiple of 9616 and 9624 is 11568048.