Least Common Multiple of 3031 and 3037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3031 and 3037 the smallest integer that is 9205147 that is divisible by both numbers.

Least Common Multiple (LCM) of 3031 and 3037 is 9205147.

LCM(3031,3037) = 9205147

LCM of 3031 and 3037

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

LCM of:
and

Least Common Multiple of 3031 and 3037

LCM of 3031 and 3037 is 9205147

Least common multiple can be found by multiplying the highest exponent prime factors of 3031 and 3037. First we will calculate the prime factors of 3031 and 3037.

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

Prime Factorization of 3037


3037 3037
1

Prime factors of 3037 are 3037. Prime factorization of 3037 in exponential form is:

3037 = 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 3031 and 3037.

LCM(3031,3037) = 71×4331×30371
LCM(3031,3037) = 9205147

Factors of 3031

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

1, 7, 433, 3031

Factors of 3037

List of positive integer factors of 3037 that divides 3037 without a remainder.

1, 3037

Least Common Multiple of 3031 and 3037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3031 and 3037, than apply into the LCM equation.

GCF(3031,3037) = 1
LCM(3031,3037) = ( 3031 × 3037) / 1
LCM(3031,3037) = 9205147 / 1
LCM(3031,3037) = 9205147

Properties of LCM 3031 and 3037

(i) The LCM of 3037 and 3031 is associative

LCM of 3031 and 3037 = LCM of 3037 and 3031

Related Least Common Multiples of 3031

Related Least Common Multiples of 3037

Frequently Asked Questions on LCM of 3031 and 3037

1. What is the LCM of 3031 and 3037?

Answer: LCM of 3031 and 3037 is 9205147.

2. 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.

3. What are the Factors of 3037?

Answer: Factors of 3037 are 1, 3037. There are 2 integers that are factors of 3037. The greatest factor of 3037 is 3037.

4. How to Find the LCM of 3031 and 3037?

Answer:

Least Common Multiple of 3031 and 3037 = 9205147

Step 1: Find the prime factorization of 3031

3031 = 7 x 433

Step 2: Find the prime factorization of 3037

3037 = 3037

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

LCM = 9205147 = 7 x 433 x 3037

Step 4: Therefore, the least common multiple of 3031 and 3037 is 9205147.