Least Common Multiple of 3075 and 3083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3075 and 3083 the smallest integer that is 9480225 that is divisible by both numbers.

Least Common Multiple (LCM) of 3075 and 3083 is 9480225.

LCM(3075,3083) = 9480225

LCM of 3075 and 3083

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

LCM of:
and

Least Common Multiple of 3075 and 3083

LCM of 3075 and 3083 is 9480225

Least common multiple can be found by multiplying the highest exponent prime factors of 3075 and 3083. First we will calculate the prime factors of 3075 and 3083.

Prime Factorization of 3075


3 3075
5 1025
5 205
41 41
1

Prime factors of 3075 are 3, 5,41. Prime factorization of 3075 in exponential form is:

3075 = 31×52×411

Prime Factorization of 3083


3083 3083
1

Prime factors of 3083 are 3083. Prime factorization of 3083 in exponential form is:

3083 = 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 3075 and 3083.

LCM(3075,3083) = 31×52×411×30831
LCM(3075,3083) = 9480225

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075

Factors of 3083

List of positive integer factors of 3083 that divides 3083 without a remainder.

1, 3083

Least Common Multiple of 3075 and 3083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3075 and 3083, than apply into the LCM equation.

GCF(3075,3083) = 1
LCM(3075,3083) = ( 3075 × 3083) / 1
LCM(3075,3083) = 9480225 / 1
LCM(3075,3083) = 9480225

Properties of LCM 3075 and 3083

(i) The LCM of 3083 and 3075 is associative

LCM of 3075 and 3083 = LCM of 3083 and 3075

Related Least Common Multiples of 3075

Related Least Common Multiples of 3083

Frequently Asked Questions on LCM of 3075 and 3083

1. What is the LCM of 3075 and 3083?

Answer: LCM of 3075 and 3083 is 9480225.

2. What are the Factors of 3075?

Answer: Factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075. There are 12 integers that are factors of 3075. The greatest factor of 3075 is 3075.

3. What are the Factors of 3083?

Answer: Factors of 3083 are 1, 3083. There are 2 integers that are factors of 3083. The greatest factor of 3083 is 3083.

4. How to Find the LCM of 3075 and 3083?

Answer:

Least Common Multiple of 3075 and 3083 = 9480225

Step 1: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 3083

3083 = 3083

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

LCM = 9480225 = 3 x 5 x 5 x 41 x 3083

Step 4: Therefore, the least common multiple of 3075 and 3083 is 9480225.