Least Common Multiple of 9024 and 9032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9024 and 9032 the smallest integer that is 10188096 that is divisible by both numbers.

Least Common Multiple (LCM) of 9024 and 9032 is 10188096.

LCM(9024,9032) = 10188096

LCM of 9024 and 9032

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

LCM of:
and

Least Common Multiple of 9024 and 9032

LCM of 9024 and 9032 is 10188096

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9032. First we will calculate the prime factors of 9024 and 9032.

Prime Factorization of 9024


2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 9024 are 2, 3,47. Prime factorization of 9024 in exponential form is:

9024 = 26×31×471

Prime Factorization of 9032


2 9032
2 4516
2 2258
1129 1129
1

Prime factors of 9032 are 2,1129. Prime factorization of 9032 in exponential form is:

9032 = 23×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9032.

LCM(9024,9032) = 26×31×471×11291
LCM(9024,9032) = 10188096

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024

Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1, 2, 4, 8, 1129, 2258, 4516, 9032

Least Common Multiple of 9024 and 9032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9024 and 9032, than apply into the LCM equation.

GCF(9024,9032) = 8
LCM(9024,9032) = ( 9024 × 9032) / 8
LCM(9024,9032) = 81504768 / 8
LCM(9024,9032) = 10188096

Properties of LCM 9024 and 9032

(i) The LCM of 9032 and 9024 is associative

LCM of 9024 and 9032 = LCM of 9032 and 9024

Related Least Common Multiples of 9024

Related Least Common Multiples of 9032

Frequently Asked Questions on LCM of 9024 and 9032

1. What is the LCM of 9024 and 9032?

Answer: LCM of 9024 and 9032 is 10188096.

2. What are the Factors of 9024?

Answer: Factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024. There are 28 integers that are factors of 9024. The greatest factor of 9024 is 9024.

3. What are the Factors of 9032?

Answer: Factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032. There are 8 integers that are factors of 9032. The greatest factor of 9032 is 9032.

4. How to Find the LCM of 9024 and 9032?

Answer:

Least Common Multiple of 9024 and 9032 = 10188096

Step 1: Find the prime factorization of 9024

9024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 9032

9032 = 2 x 2 x 2 x 1129

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

LCM = 10188096 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 1129

Step 4: Therefore, the least common multiple of 9024 and 9032 is 10188096.