Least Common Multiple of 3023 and 3031

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 3031 the smallest integer that is 9162713 that is divisible by both numbers.

Least Common Multiple (LCM) of 3023 and 3031 is 9162713.

LCM(3023,3031) = 9162713

LCM of 3023 and 3031

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

LCM of:
and

Least Common Multiple of 3023 and 3031

LCM of 3023 and 3031 is 9162713

Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3031. First we will calculate the prime factors of 3023 and 3031.

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 3031


7 3031
433 433
1

Prime factors of 3031 are 7,433. Prime factorization of 3031 in exponential form is:

3031 = 71×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3031.

LCM(3023,3031) = 71×4331×30231
LCM(3023,3031) = 9162713

Factors of 3023

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

1, 3023

Factors of 3031

List of positive integer factors of 3031 that divides 3031 without a remainder.

1, 7, 433, 3031

Least Common Multiple of 3023 and 3031 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 3031, than apply into the LCM equation.

GCF(3023,3031) = 1
LCM(3023,3031) = ( 3023 × 3031) / 1
LCM(3023,3031) = 9162713 / 1
LCM(3023,3031) = 9162713

Properties of LCM 3023 and 3031

(i) The LCM of 3031 and 3023 is associative

LCM of 3023 and 3031 = LCM of 3031 and 3023

Related Least Common Multiples of 3023

Related Least Common Multiples of 3031

Frequently Asked Questions on LCM of 3023 and 3031

1. What is the LCM of 3023 and 3031?

Answer: LCM of 3023 and 3031 is 9162713.

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 3031?

Answer: Factors of 3031 are 1, 7, 433, 3031. There are 4 integers that are factors of 3031. The greatest factor of 3031 is 3031.

4. How to Find the LCM of 3023 and 3031?

Answer:

Least Common Multiple of 3023 and 3031 = 9162713

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3031

3031 = 7 x 433

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

LCM = 9162713 = 7 x 433 x 3023

Step 4: Therefore, the least common multiple of 3023 and 3031 is 9162713.