Least Common Multiple of 9624 and 9632

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 9632 the smallest integer that is 11587296 that is divisible by both numbers.

Least Common Multiple (LCM) of 9624 and 9632 is 11587296.

LCM(9624,9632) = 11587296

LCM of 9624 and 9632

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

LCM of:
and

Least Common Multiple of 9624 and 9632

LCM of 9624 and 9632 is 11587296

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9632. First we will calculate the prime factors of 9624 and 9632.

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 9632


2 9632
2 4816
2 2408
2 1204
2 602
7 301
43 43
1

Prime factors of 9632 are 2, 7,43. Prime factorization of 9632 in exponential form is:

9632 = 25×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9632.

LCM(9624,9632) = 25×31×71×431×4011
LCM(9624,9632) = 11587296

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 9632

List of positive integer factors of 9632 that divides 9632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632

Least Common Multiple of 9624 and 9632 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 9632, than apply into the LCM equation.

GCF(9624,9632) = 8
LCM(9624,9632) = ( 9624 × 9632) / 8
LCM(9624,9632) = 92698368 / 8
LCM(9624,9632) = 11587296

Properties of LCM 9624 and 9632

(i) The LCM of 9632 and 9624 is associative

LCM of 9624 and 9632 = LCM of 9632 and 9624

Related Least Common Multiples of 9624

Related Least Common Multiples of 9632

Frequently Asked Questions on LCM of 9624 and 9632

1. What is the LCM of 9624 and 9632?

Answer: LCM of 9624 and 9632 is 11587296.

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 9632?

Answer: Factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632. There are 24 integers that are factors of 9632. The greatest factor of 9632 is 9632.

4. How to Find the LCM of 9624 and 9632?

Answer:

Least Common Multiple of 9624 and 9632 = 11587296

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 9632

9632 = 2 x 2 x 2 x 2 x 2 x 7 x 43

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

LCM = 11587296 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 43 x 401

Step 4: Therefore, the least common multiple of 9624 and 9632 is 11587296.