Least Common Multiple of 6075 and 6083

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 6083 the smallest integer that is 36954225 that is divisible by both numbers.

Least Common Multiple (LCM) of 6075 and 6083 is 36954225.

LCM(6075,6083) = 36954225

LCM of 6075 and 6083

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

LCM of:
and

Least Common Multiple of 6075 and 6083

LCM of 6075 and 6083 is 36954225

Least common multiple can be found by multiplying the highest exponent prime factors of 6075 and 6083. First we will calculate the prime factors of 6075 and 6083.

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 6083


7 6083
11 869
79 79
1

Prime factors of 6083 are 7, 11,79. Prime factorization of 6083 in exponential form is:

6083 = 71×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6075 and 6083.

LCM(6075,6083) = 35×52×71×111×791
LCM(6075,6083) = 36954225

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 6083

List of positive integer factors of 6083 that divides 6083 without a remainder.

1, 7, 11, 77, 79, 553, 869, 6083

Least Common Multiple of 6075 and 6083 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 6083, than apply into the LCM equation.

GCF(6075,6083) = 1
LCM(6075,6083) = ( 6075 × 6083) / 1
LCM(6075,6083) = 36954225 / 1
LCM(6075,6083) = 36954225

Properties of LCM 6075 and 6083

(i) The LCM of 6083 and 6075 is associative

LCM of 6075 and 6083 = LCM of 6083 and 6075

Related Least Common Multiples of 6075

Related Least Common Multiples of 6083

Frequently Asked Questions on LCM of 6075 and 6083

1. What is the LCM of 6075 and 6083?

Answer: LCM of 6075 and 6083 is 36954225.

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 6083?

Answer: Factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083. There are 8 integers that are factors of 6083. The greatest factor of 6083 is 6083.

4. How to Find the LCM of 6075 and 6083?

Answer:

Least Common Multiple of 6075 and 6083 = 36954225

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 6083

6083 = 7 x 11 x 79

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

LCM = 36954225 = 3 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 79

Step 4: Therefore, the least common multiple of 6075 and 6083 is 36954225.