Least Common Multiple of 6068 and 6071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6068 and 6071 the smallest integer that is 36838828 that is divisible by both numbers.

Least Common Multiple (LCM) of 6068 and 6071 is 36838828.

LCM(6068,6071) = 36838828

LCM of 6068 and 6071

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

LCM of:
and

Least Common Multiple of 6068 and 6071

LCM of 6068 and 6071 is 36838828

Least common multiple can be found by multiplying the highest exponent prime factors of 6068 and 6071. First we will calculate the prime factors of 6068 and 6071.

Prime Factorization of 6068


2 6068
2 3034
37 1517
41 41
1

Prime factors of 6068 are 2, 37,41. Prime factorization of 6068 in exponential form is:

6068 = 22×371×411

Prime Factorization of 6071


13 6071
467 467
1

Prime factors of 6071 are 13,467. Prime factorization of 6071 in exponential form is:

6071 = 131×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 6068 and 6071.

LCM(6068,6071) = 22×131×371×411×4671
LCM(6068,6071) = 36838828

Factors of 6068

List of positive integer factors of 6068 that divides 6068 without a remainder.

1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068

Factors of 6071

List of positive integer factors of 6071 that divides 6071 without a remainder.

1, 13, 467, 6071

Least Common Multiple of 6068 and 6071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6068 and 6071, than apply into the LCM equation.

GCF(6068,6071) = 1
LCM(6068,6071) = ( 6068 × 6071) / 1
LCM(6068,6071) = 36838828 / 1
LCM(6068,6071) = 36838828

Properties of LCM 6068 and 6071

(i) The LCM of 6071 and 6068 is associative

LCM of 6068 and 6071 = LCM of 6071 and 6068

Related Least Common Multiples of 6068

Related Least Common Multiples of 6071

Frequently Asked Questions on LCM of 6068 and 6071

1. What is the LCM of 6068 and 6071?

Answer: LCM of 6068 and 6071 is 36838828.

2. What are the Factors of 6068?

Answer: Factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068. There are 12 integers that are factors of 6068. The greatest factor of 6068 is 6068.

3. What are the Factors of 6071?

Answer: Factors of 6071 are 1, 13, 467, 6071. There are 4 integers that are factors of 6071. The greatest factor of 6071 is 6071.

4. How to Find the LCM of 6068 and 6071?

Answer:

Least Common Multiple of 6068 and 6071 = 36838828

Step 1: Find the prime factorization of 6068

6068 = 2 x 2 x 37 x 41

Step 2: Find the prime factorization of 6071

6071 = 13 x 467

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

LCM = 36838828 = 2 x 2 x 13 x 37 x 41 x 467

Step 4: Therefore, the least common multiple of 6068 and 6071 is 36838828.