Least Common Multiple of 6065 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 6065 and 6071 the smallest integer that is 36820615 that is divisible by both numbers.

Least Common Multiple (LCM) of 6065 and 6071 is 36820615.

LCM(6065,6071) = 36820615

LCM of 6065 and 6071

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

LCM of:
and

Least Common Multiple of 6065 and 6071

LCM of 6065 and 6071 is 36820615

Least common multiple can be found by multiplying the highest exponent prime factors of 6065 and 6071. First we will calculate the prime factors of 6065 and 6071.

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 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 6065 and 6071.

LCM(6065,6071) = 51×131×4671×12131
LCM(6065,6071) = 36820615

Factors of 6065

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

1, 5, 1213, 6065

Factors of 6071

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

1, 13, 467, 6071

Least Common Multiple of 6065 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 6065 and 6071, than apply into the LCM equation.

GCF(6065,6071) = 1
LCM(6065,6071) = ( 6065 × 6071) / 1
LCM(6065,6071) = 36820615 / 1
LCM(6065,6071) = 36820615

Properties of LCM 6065 and 6071

(i) The LCM of 6071 and 6065 is associative

LCM of 6065 and 6071 = LCM of 6071 and 6065

Related Least Common Multiples of 6065

Related Least Common Multiples of 6071

Frequently Asked Questions on LCM of 6065 and 6071

1. What is the LCM of 6065 and 6071?

Answer: LCM of 6065 and 6071 is 36820615.

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 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 6065 and 6071?

Answer:

Least Common Multiple of 6065 and 6071 = 36820615

Step 1: Find the prime factorization of 6065

6065 = 5 x 1213

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 = 36820615 = 5 x 13 x 467 x 1213

Step 4: Therefore, the least common multiple of 6065 and 6071 is 36820615.