Least Common Multiple of 6036 and 6042

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 6042 the smallest integer that is 6078252 that is divisible by both numbers.

Least Common Multiple (LCM) of 6036 and 6042 is 6078252.

LCM(6036,6042) = 6078252

LCM of 6036 and 6042

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

LCM of:
and

Least Common Multiple of 6036 and 6042

LCM of 6036 and 6042 is 6078252

Least common multiple can be found by multiplying the highest exponent prime factors of 6036 and 6042. First we will calculate the prime factors of 6036 and 6042.

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 6042


2 6042
3 3021
19 1007
53 53
1

Prime factors of 6042 are 2, 3, 19,53. Prime factorization of 6042 in exponential form is:

6042 = 21×31×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6036 and 6042.

LCM(6036,6042) = 22×31×191×531×5031
LCM(6036,6042) = 6078252

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 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

Least Common Multiple of 6036 and 6042 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 6042, than apply into the LCM equation.

GCF(6036,6042) = 6
LCM(6036,6042) = ( 6036 × 6042) / 6
LCM(6036,6042) = 36469512 / 6
LCM(6036,6042) = 6078252

Properties of LCM 6036 and 6042

(i) The LCM of 6042 and 6036 is associative

LCM of 6036 and 6042 = LCM of 6042 and 6036

Related Least Common Multiples of 6036

Related Least Common Multiples of 6042

Frequently Asked Questions on LCM of 6036 and 6042

1. What is the LCM of 6036 and 6042?

Answer: LCM of 6036 and 6042 is 6078252.

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 6042?

Answer: Factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042. There are 16 integers that are factors of 6042. The greatest factor of 6042 is 6042.

4. How to Find the LCM of 6036 and 6042?

Answer:

Least Common Multiple of 6036 and 6042 = 6078252

Step 1: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

Step 2: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

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

LCM = 6078252 = 2 x 2 x 3 x 19 x 53 x 503

Step 4: Therefore, the least common multiple of 6036 and 6042 is 6078252.