Least Common Multiple of 6036 and 6044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6036 and 6044 the smallest integer that is 9120396 that is divisible by both numbers.

Least Common Multiple (LCM) of 6036 and 6044 is 9120396.

LCM(6036,6044) = 9120396

LCM of 6036 and 6044

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

LCM of:
and

Least Common Multiple of 6036 and 6044

LCM of 6036 and 6044 is 9120396

Least common multiple can be found by multiplying the highest exponent prime factors of 6036 and 6044. First we will calculate the prime factors of 6036 and 6044.

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

Prime Factorization of 6044


2 6044
2 3022
1511 1511
1

Prime factors of 6044 are 2,1511. Prime factorization of 6044 in exponential form is:

6044 = 22×15111

Now multiplying the highest exponent prime factors to calculate the LCM of 6036 and 6044.

LCM(6036,6044) = 22×31×5031×15111
LCM(6036,6044) = 9120396

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036

Factors of 6044

List of positive integer factors of 6044 that divides 6044 without a remainder.

1, 2, 4, 1511, 3022, 6044

Least Common Multiple of 6036 and 6044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6036 and 6044, than apply into the LCM equation.

GCF(6036,6044) = 4
LCM(6036,6044) = ( 6036 × 6044) / 4
LCM(6036,6044) = 36481584 / 4
LCM(6036,6044) = 9120396

Properties of LCM 6036 and 6044

(i) The LCM of 6044 and 6036 is associative

LCM of 6036 and 6044 = LCM of 6044 and 6036

Related Least Common Multiples of 6036

Related Least Common Multiples of 6044

Frequently Asked Questions on LCM of 6036 and 6044

1. What is the LCM of 6036 and 6044?

Answer: LCM of 6036 and 6044 is 9120396.

2. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

3. What are the Factors of 6044?

Answer: Factors of 6044 are 1, 2, 4, 1511, 3022, 6044. There are 6 integers that are factors of 6044. The greatest factor of 6044 is 6044.

4. How to Find the LCM of 6036 and 6044?

Answer:

Least Common Multiple of 6036 and 6044 = 9120396

Step 1: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

Step 2: Find the prime factorization of 6044

6044 = 2 x 2 x 1511

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

LCM = 9120396 = 2 x 2 x 3 x 503 x 1511

Step 4: Therefore, the least common multiple of 6036 and 6044 is 9120396.