Least Common Multiple of 3037 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 3037 and 3042 the smallest integer that is 9238554 that is divisible by both numbers.

Least Common Multiple (LCM) of 3037 and 3042 is 9238554.

LCM(3037,3042) = 9238554

LCM of 3037 and 3042

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

LCM of:
and

Least Common Multiple of 3037 and 3042

LCM of 3037 and 3042 is 9238554

Least common multiple can be found by multiplying the highest exponent prime factors of 3037 and 3042. First we will calculate the prime factors of 3037 and 3042.

Prime Factorization of 3037


3037 3037
1

Prime factors of 3037 are 3037. Prime factorization of 3037 in exponential form is:

3037 = 30371

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 3037 and 3042.

LCM(3037,3042) = 21×32×132×30371
LCM(3037,3042) = 9238554

Factors of 3037

List of positive integer factors of 3037 that divides 3037 without a remainder.

1, 3037

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 3037 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 3037 and 3042, than apply into the LCM equation.

GCF(3037,3042) = 1
LCM(3037,3042) = ( 3037 × 3042) / 1
LCM(3037,3042) = 9238554 / 1
LCM(3037,3042) = 9238554

Properties of LCM 3037 and 3042

(i) The LCM of 3042 and 3037 is associative

LCM of 3037 and 3042 = LCM of 3042 and 3037

Related Least Common Multiples of 3037

Related Least Common Multiples of 3042

Frequently Asked Questions on LCM of 3037 and 3042

1. What is the LCM of 3037 and 3042?

Answer: LCM of 3037 and 3042 is 9238554.

2. What are the Factors of 3037?

Answer: Factors of 3037 are 1, 3037. There are 2 integers that are factors of 3037. The greatest factor of 3037 is 3037.

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 3037 and 3042?

Answer:

Least Common Multiple of 3037 and 3042 = 9238554

Step 1: Find the prime factorization of 3037

3037 = 3037

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 = 9238554 = 2 x 3 x 3 x 13 x 13 x 3037

Step 4: Therefore, the least common multiple of 3037 and 3042 is 9238554.