Least Common Multiple of 9028 and 9036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9028 and 9036 the smallest integer that is 20394252 that is divisible by both numbers.

Least Common Multiple (LCM) of 9028 and 9036 is 20394252.

LCM(9028,9036) = 20394252

LCM of 9028 and 9036

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

LCM of:
and

Least Common Multiple of 9028 and 9036

LCM of 9028 and 9036 is 20394252

Least common multiple can be found by multiplying the highest exponent prime factors of 9028 and 9036. First we will calculate the prime factors of 9028 and 9036.

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

Prime Factorization of 9036


2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:

9036 = 22×32×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9028 and 9036.

LCM(9028,9036) = 22×32×371×611×2511
LCM(9028,9036) = 20394252

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

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036

Least Common Multiple of 9028 and 9036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9028 and 9036, than apply into the LCM equation.

GCF(9028,9036) = 4
LCM(9028,9036) = ( 9028 × 9036) / 4
LCM(9028,9036) = 81577008 / 4
LCM(9028,9036) = 20394252

Properties of LCM 9028 and 9036

(i) The LCM of 9036 and 9028 is associative

LCM of 9028 and 9036 = LCM of 9036 and 9028

Related Least Common Multiples of 9028

Related Least Common Multiples of 9036

Frequently Asked Questions on LCM of 9028 and 9036

1. What is the LCM of 9028 and 9036?

Answer: LCM of 9028 and 9036 is 20394252.

2. 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.

3. What are the Factors of 9036?

Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.

4. How to Find the LCM of 9028 and 9036?

Answer:

Least Common Multiple of 9028 and 9036 = 20394252

Step 1: Find the prime factorization of 9028

9028 = 2 x 2 x 37 x 61

Step 2: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

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

LCM = 20394252 = 2 x 2 x 3 x 3 x 37 x 61 x 251

Step 4: Therefore, the least common multiple of 9028 and 9036 is 20394252.