Least Common Multiple of 6064 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 6064 and 6067 the smallest integer that is 36790288 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6067 is 36790288.

LCM(6064,6067) = 36790288

LCM of 6064 and 6067

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

LCM of:
and

Least Common Multiple of 6064 and 6067

LCM of 6064 and 6067 is 36790288

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6067. First we will calculate the prime factors of 6064 and 6067.

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 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 6064 and 6067.

LCM(6064,6067) = 24×3791×60671
LCM(6064,6067) = 36790288

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 6067

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

1, 6067

Least Common Multiple of 6064 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 6064 and 6067, than apply into the LCM equation.

GCF(6064,6067) = 1
LCM(6064,6067) = ( 6064 × 6067) / 1
LCM(6064,6067) = 36790288 / 1
LCM(6064,6067) = 36790288

Properties of LCM 6064 and 6067

(i) The LCM of 6067 and 6064 is associative

LCM of 6064 and 6067 = LCM of 6067 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6067

Frequently Asked Questions on LCM of 6064 and 6067

1. What is the LCM of 6064 and 6067?

Answer: LCM of 6064 and 6067 is 36790288.

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 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 6064 and 6067?

Answer:

Least Common Multiple of 6064 and 6067 = 36790288

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 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 = 36790288 = 2 x 2 x 2 x 2 x 379 x 6067

Step 4: Therefore, the least common multiple of 6064 and 6067 is 36790288.