Least Common Multiple of 6071 and 6073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6071 and 6073 the smallest integer that is 36869183 that is divisible by both numbers.

Least Common Multiple (LCM) of 6071 and 6073 is 36869183.

LCM(6071,6073) = 36869183

LCM of 6071 and 6073

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

LCM of:
and

Least Common Multiple of 6071 and 6073

LCM of 6071 and 6073 is 36869183

Least common multiple can be found by multiplying the highest exponent prime factors of 6071 and 6073. First we will calculate the prime factors of 6071 and 6073.

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

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 6071 and 6073.

LCM(6071,6073) = 131×4671×60731
LCM(6071,6073) = 36869183

Factors of 6071

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

1, 13, 467, 6071

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

Least Common Multiple of 6071 and 6073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6071 and 6073, than apply into the LCM equation.

GCF(6071,6073) = 1
LCM(6071,6073) = ( 6071 × 6073) / 1
LCM(6071,6073) = 36869183 / 1
LCM(6071,6073) = 36869183

Properties of LCM 6071 and 6073

(i) The LCM of 6073 and 6071 is associative

LCM of 6071 and 6073 = LCM of 6073 and 6071

Related Least Common Multiples of 6071

Related Least Common Multiples of 6073

Frequently Asked Questions on LCM of 6071 and 6073

1. What is the LCM of 6071 and 6073?

Answer: LCM of 6071 and 6073 is 36869183.

2. 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.

3. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

4. How to Find the LCM of 6071 and 6073?

Answer:

Least Common Multiple of 6071 and 6073 = 36869183

Step 1: Find the prime factorization of 6071

6071 = 13 x 467

Step 2: Find the prime factorization of 6073

6073 = 6073

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

LCM = 36869183 = 13 x 467 x 6073

Step 4: Therefore, the least common multiple of 6071 and 6073 is 36869183.