Least Common Multiple of 6042 and 6046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6042 and 6046 the smallest integer that is 18264966 that is divisible by both numbers.

Least Common Multiple (LCM) of 6042 and 6046 is 18264966.

LCM(6042,6046) = 18264966

LCM of 6042 and 6046

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

LCM of:
and

Least Common Multiple of 6042 and 6046

LCM of 6042 and 6046 is 18264966

Least common multiple can be found by multiplying the highest exponent prime factors of 6042 and 6046. First we will calculate the prime factors of 6042 and 6046.

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

Prime Factorization of 6046


2 6046
3023 3023
1

Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:

6046 = 21×30231

Now multiplying the highest exponent prime factors to calculate the LCM of 6042 and 6046.

LCM(6042,6046) = 21×31×191×531×30231
LCM(6042,6046) = 18264966

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

Factors of 6046

List of positive integer factors of 6046 that divides 6046 without a remainder.

1, 2, 3023, 6046

Least Common Multiple of 6042 and 6046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6042 and 6046, than apply into the LCM equation.

GCF(6042,6046) = 2
LCM(6042,6046) = ( 6042 × 6046) / 2
LCM(6042,6046) = 36529932 / 2
LCM(6042,6046) = 18264966

Properties of LCM 6042 and 6046

(i) The LCM of 6046 and 6042 is associative

LCM of 6042 and 6046 = LCM of 6046 and 6042

Related Least Common Multiples of 6042

Related Least Common Multiples of 6046

Frequently Asked Questions on LCM of 6042 and 6046

1. What is the LCM of 6042 and 6046?

Answer: LCM of 6042 and 6046 is 18264966.

2. 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.

3. What are the Factors of 6046?

Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.

4. How to Find the LCM of 6042 and 6046?

Answer:

Least Common Multiple of 6042 and 6046 = 18264966

Step 1: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

Step 2: Find the prime factorization of 6046

6046 = 2 x 3023

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

LCM = 18264966 = 2 x 3 x 19 x 53 x 3023

Step 4: Therefore, the least common multiple of 6042 and 6046 is 18264966.