Least Common Multiple of 3027 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 3027 and 3031 the smallest integer that is 9174837 that is divisible by both numbers.

Least Common Multiple (LCM) of 3027 and 3031 is 9174837.

LCM(3027,3031) = 9174837

LCM of 3027 and 3031

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

LCM of:
and

Least Common Multiple of 3027 and 3031

LCM of 3027 and 3031 is 9174837

Least common multiple can be found by multiplying the highest exponent prime factors of 3027 and 3031. First we will calculate the prime factors of 3027 and 3031.

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

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 3027 and 3031.

LCM(3027,3031) = 31×71×4331×10091
LCM(3027,3031) = 9174837

Factors of 3027

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

1, 3, 1009, 3027

Factors of 3031

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

1, 7, 433, 3031

Least Common Multiple of 3027 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 3027 and 3031, than apply into the LCM equation.

GCF(3027,3031) = 1
LCM(3027,3031) = ( 3027 × 3031) / 1
LCM(3027,3031) = 9174837 / 1
LCM(3027,3031) = 9174837

Properties of LCM 3027 and 3031

(i) The LCM of 3031 and 3027 is associative

LCM of 3027 and 3031 = LCM of 3031 and 3027

Related Least Common Multiples of 3027

Related Least Common Multiples of 3031

Frequently Asked Questions on LCM of 3027 and 3031

1. What is the LCM of 3027 and 3031?

Answer: LCM of 3027 and 3031 is 9174837.

2. 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.

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 3027 and 3031?

Answer:

Least Common Multiple of 3027 and 3031 = 9174837

Step 1: Find the prime factorization of 3027

3027 = 3 x 1009

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 = 9174837 = 3 x 7 x 433 x 1009

Step 4: Therefore, the least common multiple of 3027 and 3031 is 9174837.