Least Common Multiple of 6065 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 6065 and 6068 the smallest integer that is 36802420 that is divisible by both numbers.

Least Common Multiple (LCM) of 6065 and 6068 is 36802420.

LCM(6065,6068) = 36802420

LCM of 6065 and 6068

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

LCM of:
and

Least Common Multiple of 6065 and 6068

LCM of 6065 and 6068 is 36802420

Least common multiple can be found by multiplying the highest exponent prime factors of 6065 and 6068. First we will calculate the prime factors of 6065 and 6068.

Prime Factorization of 6065


5 6065
1213 1213
1

Prime factors of 6065 are 5,1213. Prime factorization of 6065 in exponential form is:

6065 = 51×12131

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 6065 and 6068.

LCM(6065,6068) = 22×51×371×411×12131
LCM(6065,6068) = 36802420

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1, 5, 1213, 6065

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 6065 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 6065 and 6068, than apply into the LCM equation.

GCF(6065,6068) = 1
LCM(6065,6068) = ( 6065 × 6068) / 1
LCM(6065,6068) = 36802420 / 1
LCM(6065,6068) = 36802420

Properties of LCM 6065 and 6068

(i) The LCM of 6068 and 6065 is associative

LCM of 6065 and 6068 = LCM of 6068 and 6065

Related Least Common Multiples of 6065

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6065 and 6068

1. What is the LCM of 6065 and 6068?

Answer: LCM of 6065 and 6068 is 36802420.

2. What are the Factors of 6065?

Answer: Factors of 6065 are 1, 5, 1213, 6065. There are 4 integers that are factors of 6065. The greatest factor of 6065 is 6065.

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 6065 and 6068?

Answer:

Least Common Multiple of 6065 and 6068 = 36802420

Step 1: Find the prime factorization of 6065

6065 = 5 x 1213

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 = 36802420 = 2 x 2 x 5 x 37 x 41 x 1213

Step 4: Therefore, the least common multiple of 6065 and 6068 is 36802420.