Least Common Multiple of 6067 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 6067 and 6075 the smallest integer that is 36857025 that is divisible by both numbers.

Least Common Multiple (LCM) of 6067 and 6075 is 36857025.

LCM(6067,6075) = 36857025

LCM of 6067 and 6075

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

LCM of:
and

Least Common Multiple of 6067 and 6075

LCM of 6067 and 6075 is 36857025

Least common multiple can be found by multiplying the highest exponent prime factors of 6067 and 6075. First we will calculate the prime factors of 6067 and 6075.

Prime Factorization of 6067


6067 6067
1

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

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 6067 and 6075.

LCM(6067,6075) = 35×52×60671
LCM(6067,6075) = 36857025

Factors of 6067

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

1, 6067

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 6067 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 6067 and 6075, than apply into the LCM equation.

GCF(6067,6075) = 1
LCM(6067,6075) = ( 6067 × 6075) / 1
LCM(6067,6075) = 36857025 / 1
LCM(6067,6075) = 36857025

Properties of LCM 6067 and 6075

(i) The LCM of 6075 and 6067 is associative

LCM of 6067 and 6075 = LCM of 6075 and 6067

Related Least Common Multiples of 6067

Related Least Common Multiples of 6075

Frequently Asked Questions on LCM of 6067 and 6075

1. What is the LCM of 6067 and 6075?

Answer: LCM of 6067 and 6075 is 36857025.

2. 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.

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 6067 and 6075?

Answer:

Least Common Multiple of 6067 and 6075 = 36857025

Step 1: Find the prime factorization of 6067

6067 = 6067

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 = 36857025 = 3 x 3 x 3 x 3 x 3 x 5 x 5 x 6067

Step 4: Therefore, the least common multiple of 6067 and 6075 is 36857025.