Least Common Multiple of 6064 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 6064 and 6071 the smallest integer that is 36814544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6071 is 36814544.

LCM(6064,6071) = 36814544

LCM of 6064 and 6071

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

LCM of:
and

Least Common Multiple of 6064 and 6071

LCM of 6064 and 6071 is 36814544

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6071. First we will calculate the prime factors of 6064 and 6071.

Prime Factorization of 6064


2 6064
2 3032
2 1516
2 758
379 379
1

Prime factors of 6064 are 2,379. Prime factorization of 6064 in exponential form is:

6064 = 24×3791

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 6064 and 6071.

LCM(6064,6071) = 24×131×3791×4671
LCM(6064,6071) = 36814544

Factors of 6064

List of positive integer factors of 6064 that divides 6064 without a remainder.

1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064

Factors of 6071

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

1, 13, 467, 6071

Least Common Multiple of 6064 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 6064 and 6071, than apply into the LCM equation.

GCF(6064,6071) = 1
LCM(6064,6071) = ( 6064 × 6071) / 1
LCM(6064,6071) = 36814544 / 1
LCM(6064,6071) = 36814544

Properties of LCM 6064 and 6071

(i) The LCM of 6071 and 6064 is associative

LCM of 6064 and 6071 = LCM of 6071 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6071

Frequently Asked Questions on LCM of 6064 and 6071

1. What is the LCM of 6064 and 6071?

Answer: LCM of 6064 and 6071 is 36814544.

2. What are the Factors of 6064?

Answer: Factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064. There are 10 integers that are factors of 6064. The greatest factor of 6064 is 6064.

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 6064 and 6071?

Answer:

Least Common Multiple of 6064 and 6071 = 36814544

Step 1: Find the prime factorization of 6064

6064 = 2 x 2 x 2 x 2 x 379

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 = 36814544 = 2 x 2 x 2 x 2 x 13 x 379 x 467

Step 4: Therefore, the least common multiple of 6064 and 6071 is 36814544.