Least Common Multiple of 3023 and 3028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3023 and 3028 the smallest integer that is 9153644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3023 and 3028 is 9153644.

LCM(3023,3028) = 9153644

LCM of 3023 and 3028

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

LCM of:
and

Least Common Multiple of 3023 and 3028

LCM of 3023 and 3028 is 9153644

Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3028. First we will calculate the prime factors of 3023 and 3028.

Prime Factorization of 3023


3023 3023
1

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

Prime Factorization of 3028


2 3028
2 1514
757 757
1

Prime factors of 3028 are 2,757. Prime factorization of 3028 in exponential form is:

3028 = 22×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3028.

LCM(3023,3028) = 22×7571×30231
LCM(3023,3028) = 9153644

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1, 3023

Factors of 3028

List of positive integer factors of 3028 that divides 3028 without a remainder.

1, 2, 4, 757, 1514, 3028

Least Common Multiple of 3023 and 3028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3023 and 3028, than apply into the LCM equation.

GCF(3023,3028) = 1
LCM(3023,3028) = ( 3023 × 3028) / 1
LCM(3023,3028) = 9153644 / 1
LCM(3023,3028) = 9153644

Properties of LCM 3023 and 3028

(i) The LCM of 3028 and 3023 is associative

LCM of 3023 and 3028 = LCM of 3028 and 3023

Related Least Common Multiples of 3023

Related Least Common Multiples of 3028

Frequently Asked Questions on LCM of 3023 and 3028

1. What is the LCM of 3023 and 3028?

Answer: LCM of 3023 and 3028 is 9153644.

2. What are the Factors of 3023?

Answer: Factors of 3023 are 1, 3023. There are 2 integers that are factors of 3023. The greatest factor of 3023 is 3023.

3. What are the Factors of 3028?

Answer: Factors of 3028 are 1, 2, 4, 757, 1514, 3028. There are 6 integers that are factors of 3028. The greatest factor of 3028 is 3028.

4. How to Find the LCM of 3023 and 3028?

Answer:

Least Common Multiple of 3023 and 3028 = 9153644

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3028

3028 = 2 x 2 x 757

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

LCM = 9153644 = 2 x 2 x 757 x 3023

Step 4: Therefore, the least common multiple of 3023 and 3028 is 9153644.