Least Common Multiple of 6068 and 6075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6068 and 6075 the smallest integer that is 36863100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6068 and 6075 is 36863100.

LCM(6068,6075) = 36863100

LCM of 6068 and 6075

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

LCM of:
and

Least Common Multiple of 6068 and 6075

LCM of 6068 and 6075 is 36863100

Least common multiple can be found by multiplying the highest exponent prime factors of 6068 and 6075. First we will calculate the prime factors of 6068 and 6075.

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

Prime Factorization of 6075


3 6075
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 6075 are 3,5. Prime factorization of 6075 in exponential form is:

6075 = 35×52

Now multiplying the highest exponent prime factors to calculate the LCM of 6068 and 6075.

LCM(6068,6075) = 22×35×52×371×411
LCM(6068,6075) = 36863100

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

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075

Least Common Multiple of 6068 and 6075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6068 and 6075, than apply into the LCM equation.

GCF(6068,6075) = 1
LCM(6068,6075) = ( 6068 × 6075) / 1
LCM(6068,6075) = 36863100 / 1
LCM(6068,6075) = 36863100

Properties of LCM 6068 and 6075

(i) The LCM of 6075 and 6068 is associative

LCM of 6068 and 6075 = LCM of 6075 and 6068

Related Least Common Multiples of 6068

Related Least Common Multiples of 6075

Frequently Asked Questions on LCM of 6068 and 6075

1. What is the LCM of 6068 and 6075?

Answer: LCM of 6068 and 6075 is 36863100.

2. 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.

3. What are the Factors of 6075?

Answer: Factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075. There are 18 integers that are factors of 6075. The greatest factor of 6075 is 6075.

4. How to Find the LCM of 6068 and 6075?

Answer:

Least Common Multiple of 6068 and 6075 = 36863100

Step 1: Find the prime factorization of 6068

6068 = 2 x 2 x 37 x 41

Step 2: Find the prime factorization of 6075

6075 = 3 x 3 x 3 x 3 x 3 x 5 x 5

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

LCM = 36863100 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 6068 and 6075 is 36863100.