Least Common Multiple of 6075 and 6081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6075 and 6081 the smallest integer that is 12314025 that is divisible by both numbers.

Least Common Multiple (LCM) of 6075 and 6081 is 12314025.

LCM(6075,6081) = 12314025

LCM of 6075 and 6081

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

LCM of:
and

Least Common Multiple of 6075 and 6081

LCM of 6075 and 6081 is 12314025

Least common multiple can be found by multiplying the highest exponent prime factors of 6075 and 6081. First we will calculate the prime factors of 6075 and 6081.

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

Prime Factorization of 6081


3 6081
2027 2027
1

Prime factors of 6081 are 3,2027. Prime factorization of 6081 in exponential form is:

6081 = 31×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 6075 and 6081.

LCM(6075,6081) = 35×52×20271
LCM(6075,6081) = 12314025

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

Factors of 6081

List of positive integer factors of 6081 that divides 6081 without a remainder.

1, 3, 2027, 6081

Least Common Multiple of 6075 and 6081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6075 and 6081, than apply into the LCM equation.

GCF(6075,6081) = 3
LCM(6075,6081) = ( 6075 × 6081) / 3
LCM(6075,6081) = 36942075 / 3
LCM(6075,6081) = 12314025

Properties of LCM 6075 and 6081

(i) The LCM of 6081 and 6075 is associative

LCM of 6075 and 6081 = LCM of 6081 and 6075

Related Least Common Multiples of 6075

Related Least Common Multiples of 6081

Frequently Asked Questions on LCM of 6075 and 6081

1. What is the LCM of 6075 and 6081?

Answer: LCM of 6075 and 6081 is 12314025.

2. 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.

3. What are the Factors of 6081?

Answer: Factors of 6081 are 1, 3, 2027, 6081. There are 4 integers that are factors of 6081. The greatest factor of 6081 is 6081.

4. How to Find the LCM of 6075 and 6081?

Answer:

Least Common Multiple of 6075 and 6081 = 12314025

Step 1: Find the prime factorization of 6075

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

Step 2: Find the prime factorization of 6081

6081 = 3 x 2027

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

LCM = 12314025 = 3 x 3 x 3 x 3 x 3 x 5 x 5 x 2027

Step 4: Therefore, the least common multiple of 6075 and 6081 is 12314025.