Least Common Multiple of 9023 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 9023 and 9028 the smallest integer that is 81459644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9023 and 9028 is 81459644.

LCM(9023,9028) = 81459644

LCM of 9023 and 9028

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

LCM of:
and

Least Common Multiple of 9023 and 9028

LCM of 9023 and 9028 is 81459644

Least common multiple can be found by multiplying the highest exponent prime factors of 9023 and 9028. First we will calculate the prime factors of 9023 and 9028.

Prime Factorization of 9023


7 9023
1289 1289
1

Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:

9023 = 71×12891

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 9023 and 9028.

LCM(9023,9028) = 22×71×371×611×12891
LCM(9023,9028) = 81459644

Factors of 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1, 7, 1289, 9023

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 9023 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 9023 and 9028, than apply into the LCM equation.

GCF(9023,9028) = 1
LCM(9023,9028) = ( 9023 × 9028) / 1
LCM(9023,9028) = 81459644 / 1
LCM(9023,9028) = 81459644

Properties of LCM 9023 and 9028

(i) The LCM of 9028 and 9023 is associative

LCM of 9023 and 9028 = LCM of 9028 and 9023

Related Least Common Multiples of 9023

Related Least Common Multiples of 9028

Frequently Asked Questions on LCM of 9023 and 9028

1. What is the LCM of 9023 and 9028?

Answer: LCM of 9023 and 9028 is 81459644.

2. What are the Factors of 9023?

Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.

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 9023 and 9028?

Answer:

Least Common Multiple of 9023 and 9028 = 81459644

Step 1: Find the prime factorization of 9023

9023 = 7 x 1289

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 = 81459644 = 2 x 2 x 7 x 37 x 61 x 1289

Step 4: Therefore, the least common multiple of 9023 and 9028 is 81459644.