Least Common Multiple of 3075 and 3082

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 3082 the smallest integer that is 9477150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3075 and 3082 is 9477150.

LCM(3075,3082) = 9477150

LCM of 3075 and 3082

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

LCM of:
and

Least Common Multiple of 3075 and 3082

LCM of 3075 and 3082 is 9477150

Least common multiple can be found by multiplying the highest exponent prime factors of 3075 and 3082. First we will calculate the prime factors of 3075 and 3082.

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 3082


2 3082
23 1541
67 67
1

Prime factors of 3082 are 2, 23,67. Prime factorization of 3082 in exponential form is:

3082 = 21×231×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3075 and 3082.

LCM(3075,3082) = 21×31×52×231×411×671
LCM(3075,3082) = 9477150

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 3082

List of positive integer factors of 3082 that divides 3082 without a remainder.

1, 2, 23, 46, 67, 134, 1541, 3082

Least Common Multiple of 3075 and 3082 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 3082, than apply into the LCM equation.

GCF(3075,3082) = 1
LCM(3075,3082) = ( 3075 × 3082) / 1
LCM(3075,3082) = 9477150 / 1
LCM(3075,3082) = 9477150

Properties of LCM 3075 and 3082

(i) The LCM of 3082 and 3075 is associative

LCM of 3075 and 3082 = LCM of 3082 and 3075

Related Least Common Multiples of 3075

Related Least Common Multiples of 3082

Frequently Asked Questions on LCM of 3075 and 3082

1. What is the LCM of 3075 and 3082?

Answer: LCM of 3075 and 3082 is 9477150.

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 3082?

Answer: Factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082. There are 8 integers that are factors of 3082. The greatest factor of 3082 is 3082.

4. How to Find the LCM of 3075 and 3082?

Answer:

Least Common Multiple of 3075 and 3082 = 9477150

Step 1: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 3082

3082 = 2 x 23 x 67

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

LCM = 9477150 = 2 x 3 x 5 x 5 x 23 x 41 x 67

Step 4: Therefore, the least common multiple of 3075 and 3082 is 9477150.