Least Common Multiple of 3033 and 3038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3033 and 3038 the smallest integer that is 9214254 that is divisible by both numbers.

Least Common Multiple (LCM) of 3033 and 3038 is 9214254.

LCM(3033,3038) = 9214254

LCM of 3033 and 3038

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

LCM of:
and

Least Common Multiple of 3033 and 3038

LCM of 3033 and 3038 is 9214254

Least common multiple can be found by multiplying the highest exponent prime factors of 3033 and 3038. First we will calculate the prime factors of 3033 and 3038.

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

Prime Factorization of 3038


2 3038
7 1519
7 217
31 31
1

Prime factors of 3038 are 2, 7,31. Prime factorization of 3038 in exponential form is:

3038 = 21×72×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3033 and 3038.

LCM(3033,3038) = 21×32×72×311×3371
LCM(3033,3038) = 9214254

Factors of 3033

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

1, 3, 9, 337, 1011, 3033

Factors of 3038

List of positive integer factors of 3038 that divides 3038 without a remainder.

1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038

Least Common Multiple of 3033 and 3038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3033 and 3038, than apply into the LCM equation.

GCF(3033,3038) = 1
LCM(3033,3038) = ( 3033 × 3038) / 1
LCM(3033,3038) = 9214254 / 1
LCM(3033,3038) = 9214254

Properties of LCM 3033 and 3038

(i) The LCM of 3038 and 3033 is associative

LCM of 3033 and 3038 = LCM of 3038 and 3033

Related Least Common Multiples of 3033

Related Least Common Multiples of 3038

Frequently Asked Questions on LCM of 3033 and 3038

1. What is the LCM of 3033 and 3038?

Answer: LCM of 3033 and 3038 is 9214254.

2. 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.

3. What are the Factors of 3038?

Answer: Factors of 3038 are 1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519, 3038. There are 12 integers that are factors of 3038. The greatest factor of 3038 is 3038.

4. How to Find the LCM of 3033 and 3038?

Answer:

Least Common Multiple of 3033 and 3038 = 9214254

Step 1: Find the prime factorization of 3033

3033 = 3 x 3 x 337

Step 2: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

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

LCM = 9214254 = 2 x 3 x 3 x 7 x 7 x 31 x 337

Step 4: Therefore, the least common multiple of 3033 and 3038 is 9214254.