Least Common Multiple of 6038 and 6043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6038 and 6043 the smallest integer that is 36487634 that is divisible by both numbers.

Least Common Multiple (LCM) of 6038 and 6043 is 36487634.

LCM(6038,6043) = 36487634

LCM of 6038 and 6043

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

LCM of:
and

Least Common Multiple of 6038 and 6043

LCM of 6038 and 6043 is 36487634

Least common multiple can be found by multiplying the highest exponent prime factors of 6038 and 6043. First we will calculate the prime factors of 6038 and 6043.

Prime Factorization of 6038


2 6038
3019 3019
1

Prime factors of 6038 are 2,3019. Prime factorization of 6038 in exponential form is:

6038 = 21×30191

Prime Factorization of 6043


6043 6043
1

Prime factors of 6043 are 6043. Prime factorization of 6043 in exponential form is:

6043 = 60431

Now multiplying the highest exponent prime factors to calculate the LCM of 6038 and 6043.

LCM(6038,6043) = 21×30191×60431
LCM(6038,6043) = 36487634

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1, 2, 3019, 6038

Factors of 6043

List of positive integer factors of 6043 that divides 6043 without a remainder.

1, 6043

Least Common Multiple of 6038 and 6043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6038 and 6043, than apply into the LCM equation.

GCF(6038,6043) = 1
LCM(6038,6043) = ( 6038 × 6043) / 1
LCM(6038,6043) = 36487634 / 1
LCM(6038,6043) = 36487634

Properties of LCM 6038 and 6043

(i) The LCM of 6043 and 6038 is associative

LCM of 6038 and 6043 = LCM of 6043 and 6038

Related Least Common Multiples of 6038

Related Least Common Multiples of 6043

Frequently Asked Questions on LCM of 6038 and 6043

1. What is the LCM of 6038 and 6043?

Answer: LCM of 6038 and 6043 is 36487634.

2. What are the Factors of 6038?

Answer: Factors of 6038 are 1, 2, 3019, 6038. There are 4 integers that are factors of 6038. The greatest factor of 6038 is 6038.

3. What are the Factors of 6043?

Answer: Factors of 6043 are 1, 6043. There are 2 integers that are factors of 6043. The greatest factor of 6043 is 6043.

4. How to Find the LCM of 6038 and 6043?

Answer:

Least Common Multiple of 6038 and 6043 = 36487634

Step 1: Find the prime factorization of 6038

6038 = 2 x 3019

Step 2: Find the prime factorization of 6043

6043 = 6043

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

LCM = 36487634 = 2 x 3019 x 6043

Step 4: Therefore, the least common multiple of 6038 and 6043 is 36487634.