Least Common Multiple of 3031 and 3033

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 3033 the smallest integer that is 9193023 that is divisible by both numbers.

Least Common Multiple (LCM) of 3031 and 3033 is 9193023.

LCM(3031,3033) = 9193023

LCM of 3031 and 3033

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

LCM of:
and

Least Common Multiple of 3031 and 3033

LCM of 3031 and 3033 is 9193023

Least common multiple can be found by multiplying the highest exponent prime factors of 3031 and 3033. First we will calculate the prime factors of 3031 and 3033.

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 3033


3 3033
3 1011
337 337
1

Prime factors of 3033 are 3,337. Prime factorization of 3033 in exponential form is:

3033 = 32×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 3031 and 3033.

LCM(3031,3033) = 32×71×3371×4331
LCM(3031,3033) = 9193023

Factors of 3031

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

1, 7, 433, 3031

Factors of 3033

List of positive integer factors of 3033 that divides 3033 without a remainder.

1, 3, 9, 337, 1011, 3033

Least Common Multiple of 3031 and 3033 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 3033, than apply into the LCM equation.

GCF(3031,3033) = 1
LCM(3031,3033) = ( 3031 × 3033) / 1
LCM(3031,3033) = 9193023 / 1
LCM(3031,3033) = 9193023

Properties of LCM 3031 and 3033

(i) The LCM of 3033 and 3031 is associative

LCM of 3031 and 3033 = LCM of 3033 and 3031

Related Least Common Multiples of 3031

Related Least Common Multiples of 3033

Frequently Asked Questions on LCM of 3031 and 3033

1. What is the LCM of 3031 and 3033?

Answer: LCM of 3031 and 3033 is 9193023.

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 3033?

Answer: Factors of 3033 are 1, 3, 9, 337, 1011, 3033. There are 6 integers that are factors of 3033. The greatest factor of 3033 is 3033.

4. How to Find the LCM of 3031 and 3033?

Answer:

Least Common Multiple of 3031 and 3033 = 9193023

Step 1: Find the prime factorization of 3031

3031 = 7 x 433

Step 2: Find the prime factorization of 3033

3033 = 3 x 3 x 337

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

LCM = 9193023 = 3 x 3 x 7 x 337 x 433

Step 4: Therefore, the least common multiple of 3031 and 3033 is 9193023.