Least Common Multiple of 3023 and 3027

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 3027 the smallest integer that is 9150621 that is divisible by both numbers.

Least Common Multiple (LCM) of 3023 and 3027 is 9150621.

LCM(3023,3027) = 9150621

LCM of 3023 and 3027

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

LCM of:
and

Least Common Multiple of 3023 and 3027

LCM of 3023 and 3027 is 9150621

Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3027. First we will calculate the prime factors of 3023 and 3027.

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 3027


3 3027
1009 1009
1

Prime factors of 3027 are 3,1009. Prime factorization of 3027 in exponential form is:

3027 = 31×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3027.

LCM(3023,3027) = 31×10091×30231
LCM(3023,3027) = 9150621

Factors of 3023

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

1, 3023

Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1, 3, 1009, 3027

Least Common Multiple of 3023 and 3027 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 3027, than apply into the LCM equation.

GCF(3023,3027) = 1
LCM(3023,3027) = ( 3023 × 3027) / 1
LCM(3023,3027) = 9150621 / 1
LCM(3023,3027) = 9150621

Properties of LCM 3023 and 3027

(i) The LCM of 3027 and 3023 is associative

LCM of 3023 and 3027 = LCM of 3027 and 3023

Related Least Common Multiples of 3023

Related Least Common Multiples of 3027

Frequently Asked Questions on LCM of 3023 and 3027

1. What is the LCM of 3023 and 3027?

Answer: LCM of 3023 and 3027 is 9150621.

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 3027?

Answer: Factors of 3027 are 1, 3, 1009, 3027. There are 4 integers that are factors of 3027. The greatest factor of 3027 is 3027.

4. How to Find the LCM of 3023 and 3027?

Answer:

Least Common Multiple of 3023 and 3027 = 9150621

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3027

3027 = 3 x 1009

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

LCM = 9150621 = 3 x 1009 x 3023

Step 4: Therefore, the least common multiple of 3023 and 3027 is 9150621.