Least Common Multiple of 9024 and 9028

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 9028 the smallest integer that is 20367168 that is divisible by both numbers.

Least Common Multiple (LCM) of 9024 and 9028 is 20367168.

LCM(9024,9028) = 20367168

LCM of 9024 and 9028

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

LCM of:
and

Least Common Multiple of 9024 and 9028

LCM of 9024 and 9028 is 20367168

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9028. First we will calculate the prime factors of 9024 and 9028.

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 9028


2 9028
2 4514
37 2257
61 61
1

Prime factors of 9028 are 2, 37,61. Prime factorization of 9028 in exponential form is:

9028 = 22×371×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9028.

LCM(9024,9028) = 26×31×371×471×611
LCM(9024,9028) = 20367168

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 9028

List of positive integer factors of 9028 that divides 9028 without a remainder.

1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028

Least Common Multiple of 9024 and 9028 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 9028, than apply into the LCM equation.

GCF(9024,9028) = 4
LCM(9024,9028) = ( 9024 × 9028) / 4
LCM(9024,9028) = 81468672 / 4
LCM(9024,9028) = 20367168

Properties of LCM 9024 and 9028

(i) The LCM of 9028 and 9024 is associative

LCM of 9024 and 9028 = LCM of 9028 and 9024

Related Least Common Multiples of 9024

Related Least Common Multiples of 9028

Frequently Asked Questions on LCM of 9024 and 9028

1. What is the LCM of 9024 and 9028?

Answer: LCM of 9024 and 9028 is 20367168.

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 9028?

Answer: Factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028. There are 12 integers that are factors of 9028. The greatest factor of 9028 is 9028.

4. How to Find the LCM of 9024 and 9028?

Answer:

Least Common Multiple of 9024 and 9028 = 20367168

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 9028

9028 = 2 x 2 x 37 x 61

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

LCM = 20367168 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 47 x 61

Step 4: Therefore, the least common multiple of 9024 and 9028 is 20367168.