Least Common Multiple of 3036 and 3044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3036 and 3044 the smallest integer that is 2310396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3036 and 3044 is 2310396.

LCM(3036,3044) = 2310396

LCM of 3036 and 3044

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

LCM of:
and

Least Common Multiple of 3036 and 3044

LCM of 3036 and 3044 is 2310396

Least common multiple can be found by multiplying the highest exponent prime factors of 3036 and 3044. First we will calculate the prime factors of 3036 and 3044.

Prime Factorization of 3036


2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 3036 are 2, 3, 11,23. Prime factorization of 3036 in exponential form is:

3036 = 22×31×111×231

Prime Factorization of 3044


2 3044
2 1522
761 761
1

Prime factors of 3044 are 2,761. Prime factorization of 3044 in exponential form is:

3044 = 22×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 3036 and 3044.

LCM(3036,3044) = 22×31×111×231×7611
LCM(3036,3044) = 2310396

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1, 2, 4, 761, 1522, 3044

Least Common Multiple of 3036 and 3044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3036 and 3044, than apply into the LCM equation.

GCF(3036,3044) = 4
LCM(3036,3044) = ( 3036 × 3044) / 4
LCM(3036,3044) = 9241584 / 4
LCM(3036,3044) = 2310396

Properties of LCM 3036 and 3044

(i) The LCM of 3044 and 3036 is associative

LCM of 3036 and 3044 = LCM of 3044 and 3036

Related Least Common Multiples of 3036

Related Least Common Multiples of 3044

Frequently Asked Questions on LCM of 3036 and 3044

1. What is the LCM of 3036 and 3044?

Answer: LCM of 3036 and 3044 is 2310396.

2. What are the Factors of 3036?

Answer: Factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036. There are 24 integers that are factors of 3036. The greatest factor of 3036 is 3036.

3. What are the Factors of 3044?

Answer: Factors of 3044 are 1, 2, 4, 761, 1522, 3044. There are 6 integers that are factors of 3044. The greatest factor of 3044 is 3044.

4. How to Find the LCM of 3036 and 3044?

Answer:

Least Common Multiple of 3036 and 3044 = 2310396

Step 1: Find the prime factorization of 3036

3036 = 2 x 2 x 3 x 11 x 23

Step 2: Find the prime factorization of 3044

3044 = 2 x 2 x 761

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

LCM = 2310396 = 2 x 2 x 3 x 11 x 23 x 761

Step 4: Therefore, the least common multiple of 3036 and 3044 is 2310396.