Least Common Multiple of 3042 and 3049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3042 and 3049 the smallest integer that is 9275058 that is divisible by both numbers.

Least Common Multiple (LCM) of 3042 and 3049 is 9275058.

LCM(3042,3049) = 9275058

LCM of 3042 and 3049

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

LCM of:
and

Least Common Multiple of 3042 and 3049

LCM of 3042 and 3049 is 9275058

Least common multiple can be found by multiplying the highest exponent prime factors of 3042 and 3049. First we will calculate the prime factors of 3042 and 3049.

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

Prime Factorization of 3049


3049 3049
1

Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:

3049 = 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 3042 and 3049.

LCM(3042,3049) = 21×32×132×30491
LCM(3042,3049) = 9275058

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

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1, 3049

Least Common Multiple of 3042 and 3049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3042 and 3049, than apply into the LCM equation.

GCF(3042,3049) = 1
LCM(3042,3049) = ( 3042 × 3049) / 1
LCM(3042,3049) = 9275058 / 1
LCM(3042,3049) = 9275058

Properties of LCM 3042 and 3049

(i) The LCM of 3049 and 3042 is associative

LCM of 3042 and 3049 = LCM of 3049 and 3042

Related Least Common Multiples of 3042

Related Least Common Multiples of 3049

Frequently Asked Questions on LCM of 3042 and 3049

1. What is the LCM of 3042 and 3049?

Answer: LCM of 3042 and 3049 is 9275058.

2. 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.

3. What are the Factors of 3049?

Answer: Factors of 3049 are 1, 3049. There are 2 integers that are factors of 3049. The greatest factor of 3049 is 3049.

4. How to Find the LCM of 3042 and 3049?

Answer:

Least Common Multiple of 3042 and 3049 = 9275058

Step 1: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 3049

3049 = 3049

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

LCM = 9275058 = 2 x 3 x 3 x 13 x 13 x 3049

Step 4: Therefore, the least common multiple of 3042 and 3049 is 9275058.