Least Common Multiple of 3036 and 3042

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 3042 the smallest integer that is 1539252 that is divisible by both numbers.

Least Common Multiple (LCM) of 3036 and 3042 is 1539252.

LCM(3036,3042) = 1539252

LCM of 3036 and 3042

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

LCM of:
and

Least Common Multiple of 3036 and 3042

LCM of 3036 and 3042 is 1539252

Least common multiple can be found by multiplying the highest exponent prime factors of 3036 and 3042. First we will calculate the prime factors of 3036 and 3042.

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 3042


2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 3042 are 2, 3,13. Prime factorization of 3042 in exponential form is:

3042 = 21×32×132

Now multiplying the highest exponent prime factors to calculate the LCM of 3036 and 3042.

LCM(3036,3042) = 22×32×111×132×231
LCM(3036,3042) = 1539252

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 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042

Least Common Multiple of 3036 and 3042 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 3042, than apply into the LCM equation.

GCF(3036,3042) = 6
LCM(3036,3042) = ( 3036 × 3042) / 6
LCM(3036,3042) = 9235512 / 6
LCM(3036,3042) = 1539252

Properties of LCM 3036 and 3042

(i) The LCM of 3042 and 3036 is associative

LCM of 3036 and 3042 = LCM of 3042 and 3036

Related Least Common Multiples of 3036

Related Least Common Multiples of 3042

Frequently Asked Questions on LCM of 3036 and 3042

1. What is the LCM of 3036 and 3042?

Answer: LCM of 3036 and 3042 is 1539252.

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 3042?

Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.

4. How to Find the LCM of 3036 and 3042?

Answer:

Least Common Multiple of 3036 and 3042 = 1539252

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 3042

3042 = 2 x 3 x 3 x 13 x 13

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

LCM = 1539252 = 2 x 2 x 3 x 3 x 11 x 13 x 13 x 23

Step 4: Therefore, the least common multiple of 3036 and 3042 is 1539252.