Least Common Multiple of 6064 and 6068

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 6068 the smallest integer that is 9199088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6064 and 6068 is 9199088.

LCM(6064,6068) = 9199088

LCM of 6064 and 6068

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

LCM of:
and

Least Common Multiple of 6064 and 6068

LCM of 6064 and 6068 is 9199088

Least common multiple can be found by multiplying the highest exponent prime factors of 6064 and 6068. First we will calculate the prime factors of 6064 and 6068.

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 6068


2 6068
2 3034
37 1517
41 41
1

Prime factors of 6068 are 2, 37,41. Prime factorization of 6068 in exponential form is:

6068 = 22×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6064 and 6068.

LCM(6064,6068) = 24×371×411×3791
LCM(6064,6068) = 9199088

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 6068

List of positive integer factors of 6068 that divides 6068 without a remainder.

1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068

Least Common Multiple of 6064 and 6068 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 6068, than apply into the LCM equation.

GCF(6064,6068) = 4
LCM(6064,6068) = ( 6064 × 6068) / 4
LCM(6064,6068) = 36796352 / 4
LCM(6064,6068) = 9199088

Properties of LCM 6064 and 6068

(i) The LCM of 6068 and 6064 is associative

LCM of 6064 and 6068 = LCM of 6068 and 6064

Related Least Common Multiples of 6064

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6064 and 6068

1. What is the LCM of 6064 and 6068?

Answer: LCM of 6064 and 6068 is 9199088.

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 6068?

Answer: Factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068. There are 12 integers that are factors of 6068. The greatest factor of 6068 is 6068.

4. How to Find the LCM of 6064 and 6068?

Answer:

Least Common Multiple of 6064 and 6068 = 9199088

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 6068

6068 = 2 x 2 x 37 x 41

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

LCM = 9199088 = 2 x 2 x 2 x 2 x 37 x 41 x 379

Step 4: Therefore, the least common multiple of 6064 and 6068 is 9199088.