Least Common Multiple of 3038 and 3045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3038 and 3045 the smallest integer that is 1321530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3038 and 3045 is 1321530.

LCM(3038,3045) = 1321530

LCM of 3038 and 3045

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

LCM of:
and

Least Common Multiple of 3038 and 3045

LCM of 3038 and 3045 is 1321530

Least common multiple can be found by multiplying the highest exponent prime factors of 3038 and 3045. First we will calculate the prime factors of 3038 and 3045.

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

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3, 5, 7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3038 and 3045.

LCM(3038,3045) = 21×31×51×72×291×311
LCM(3038,3045) = 1321530

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

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045

Least Common Multiple of 3038 and 3045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3038 and 3045, than apply into the LCM equation.

GCF(3038,3045) = 7
LCM(3038,3045) = ( 3038 × 3045) / 7
LCM(3038,3045) = 9250710 / 7
LCM(3038,3045) = 1321530

Properties of LCM 3038 and 3045

(i) The LCM of 3045 and 3038 is associative

LCM of 3038 and 3045 = LCM of 3045 and 3038

Related Least Common Multiples of 3038

Related Least Common Multiples of 3045

Frequently Asked Questions on LCM of 3038 and 3045

1. What is the LCM of 3038 and 3045?

Answer: LCM of 3038 and 3045 is 1321530.

2. 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.

3. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

4. How to Find the LCM of 3038 and 3045?

Answer:

Least Common Multiple of 3038 and 3045 = 1321530

Step 1: Find the prime factorization of 3038

3038 = 2 x 7 x 7 x 31

Step 2: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

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

LCM = 1321530 = 2 x 3 x 5 x 7 x 7 x 29 x 31

Step 4: Therefore, the least common multiple of 3038 and 3045 is 1321530.