Least Common Multiple of 3042 and 3046

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 3046 the smallest integer that is 4632966 that is divisible by both numbers.

Least Common Multiple (LCM) of 3042 and 3046 is 4632966.

LCM(3042,3046) = 4632966

LCM of 3042 and 3046

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

LCM of:
and

Least Common Multiple of 3042 and 3046

LCM of 3042 and 3046 is 4632966

Least common multiple can be found by multiplying the highest exponent prime factors of 3042 and 3046. First we will calculate the prime factors of 3042 and 3046.

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 3046


2 3046
1523 1523
1

Prime factors of 3046 are 2,1523. Prime factorization of 3046 in exponential form is:

3046 = 21×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 3042 and 3046.

LCM(3042,3046) = 21×32×132×15231
LCM(3042,3046) = 4632966

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 3046

List of positive integer factors of 3046 that divides 3046 without a remainder.

1, 2, 1523, 3046

Least Common Multiple of 3042 and 3046 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 3046, than apply into the LCM equation.

GCF(3042,3046) = 2
LCM(3042,3046) = ( 3042 × 3046) / 2
LCM(3042,3046) = 9265932 / 2
LCM(3042,3046) = 4632966

Properties of LCM 3042 and 3046

(i) The LCM of 3046 and 3042 is associative

LCM of 3042 and 3046 = LCM of 3046 and 3042

Related Least Common Multiples of 3042

Related Least Common Multiples of 3046

Frequently Asked Questions on LCM of 3042 and 3046

1. What is the LCM of 3042 and 3046?

Answer: LCM of 3042 and 3046 is 4632966.

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 3046?

Answer: Factors of 3046 are 1, 2, 1523, 3046. There are 4 integers that are factors of 3046. The greatest factor of 3046 is 3046.

4. How to Find the LCM of 3042 and 3046?

Answer:

Least Common Multiple of 3042 and 3046 = 4632966

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 3046

3046 = 2 x 1523

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

LCM = 4632966 = 2 x 3 x 3 x 13 x 13 x 1523

Step 4: Therefore, the least common multiple of 3042 and 3046 is 4632966.