Least Common Multiple of 6067 and 6068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6067 and 6068 the smallest integer that is 36814556 that is divisible by both numbers.

Least Common Multiple (LCM) of 6067 and 6068 is 36814556.

LCM(6067,6068) = 36814556

LCM of 6067 and 6068

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

LCM of:
and

Least Common Multiple of 6067 and 6068

LCM of 6067 and 6068 is 36814556

Least common multiple can be found by multiplying the highest exponent prime factors of 6067 and 6068. First we will calculate the prime factors of 6067 and 6068.

Prime Factorization of 6067


6067 6067
1

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6067 and 6068.

LCM(6067,6068) = 22×371×411×60671
LCM(6067,6068) = 36814556

Factors of 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1, 6067

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

Least Common Multiple of 6067 and 6068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6067 and 6068, than apply into the LCM equation.

GCF(6067,6068) = 1
LCM(6067,6068) = ( 6067 × 6068) / 1
LCM(6067,6068) = 36814556 / 1
LCM(6067,6068) = 36814556

Properties of LCM 6067 and 6068

(i) The LCM of 6068 and 6067 is associative

LCM of 6067 and 6068 = LCM of 6068 and 6067

Related Least Common Multiples of 6067

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6067 and 6068

1. What is the LCM of 6067 and 6068?

Answer: LCM of 6067 and 6068 is 36814556.

2. What are the Factors of 6067?

Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.

3. 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.

4. How to Find the LCM of 6067 and 6068?

Answer:

Least Common Multiple of 6067 and 6068 = 36814556

Step 1: Find the prime factorization of 6067

6067 = 6067

Step 2: Find the prime factorization of 6068

6068 = 2 x 2 x 37 x 41

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

LCM = 36814556 = 2 x 2 x 37 x 41 x 6067

Step 4: Therefore, the least common multiple of 6067 and 6068 is 36814556.