Least Common Multiple of 6065 and 6067

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 6067 the smallest integer that is 36796355 that is divisible by both numbers.

Least Common Multiple (LCM) of 6065 and 6067 is 36796355.

LCM(6065,6067) = 36796355

LCM of 6065 and 6067

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

LCM of:
and

Least Common Multiple of 6065 and 6067

LCM of 6065 and 6067 is 36796355

Least common multiple can be found by multiplying the highest exponent prime factors of 6065 and 6067. First we will calculate the prime factors of 6065 and 6067.

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 6067


6067 6067
1

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

6067 = 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 6065 and 6067.

LCM(6065,6067) = 51×12131×60671
LCM(6065,6067) = 36796355

Factors of 6065

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

1, 5, 1213, 6065

Factors of 6067

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

1, 6067

Least Common Multiple of 6065 and 6067 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 6067, than apply into the LCM equation.

GCF(6065,6067) = 1
LCM(6065,6067) = ( 6065 × 6067) / 1
LCM(6065,6067) = 36796355 / 1
LCM(6065,6067) = 36796355

Properties of LCM 6065 and 6067

(i) The LCM of 6067 and 6065 is associative

LCM of 6065 and 6067 = LCM of 6067 and 6065

Related Least Common Multiples of 6065

Related Least Common Multiples of 6067

Frequently Asked Questions on LCM of 6065 and 6067

1. What is the LCM of 6065 and 6067?

Answer: LCM of 6065 and 6067 is 36796355.

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 6067?

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

4. How to Find the LCM of 6065 and 6067?

Answer:

Least Common Multiple of 6065 and 6067 = 36796355

Step 1: Find the prime factorization of 6065

6065 = 5 x 1213

Step 2: Find the prime factorization of 6067

6067 = 6067

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

LCM = 36796355 = 5 x 1213 x 6067

Step 4: Therefore, the least common multiple of 6065 and 6067 is 36796355.