Least Common Multiple of 9024 and 9030

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 9030 the smallest integer that is 13581120 that is divisible by both numbers.

Least Common Multiple (LCM) of 9024 and 9030 is 13581120.

LCM(9024,9030) = 13581120

LCM of 9024 and 9030

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

LCM of:
and

Least Common Multiple of 9024 and 9030

LCM of 9024 and 9030 is 13581120

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9030. First we will calculate the prime factors of 9024 and 9030.

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 9030


2 9030
3 4515
5 1505
7 301
43 43
1

Prime factors of 9030 are 2, 3, 5, 7,43. Prime factorization of 9030 in exponential form is:

9030 = 21×31×51×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9030.

LCM(9024,9030) = 26×31×51×71×431×471
LCM(9024,9030) = 13581120

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 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030

Least Common Multiple of 9024 and 9030 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 9030, than apply into the LCM equation.

GCF(9024,9030) = 6
LCM(9024,9030) = ( 9024 × 9030) / 6
LCM(9024,9030) = 81486720 / 6
LCM(9024,9030) = 13581120

Properties of LCM 9024 and 9030

(i) The LCM of 9030 and 9024 is associative

LCM of 9024 and 9030 = LCM of 9030 and 9024

Related Least Common Multiples of 9024

Related Least Common Multiples of 9030

Frequently Asked Questions on LCM of 9024 and 9030

1. What is the LCM of 9024 and 9030?

Answer: LCM of 9024 and 9030 is 13581120.

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 9030?

Answer: Factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030. There are 32 integers that are factors of 9030. The greatest factor of 9030 is 9030.

4. How to Find the LCM of 9024 and 9030?

Answer:

Least Common Multiple of 9024 and 9030 = 13581120

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 9030

9030 = 2 x 3 x 5 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 = 13581120 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 43 x 47

Step 4: Therefore, the least common multiple of 9024 and 9030 is 13581120.