Least Common Multiple of 2075 and 2081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2075 and 2081 the smallest integer that is 4318075 that is divisible by both numbers.

Least Common Multiple (LCM) of 2075 and 2081 is 4318075.

LCM(2075,2081) = 4318075

LCM of 2075 and 2081

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

LCM of:
and

Least Common Multiple of 2075 and 2081

LCM of 2075 and 2081 is 4318075

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2081. First we will calculate the prime factors of 2075 and 2081.

Prime Factorization of 2075


5 2075
5 415
83 83
1

Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:

2075 = 52×831

Prime Factorization of 2081


2081 2081
1

Prime factors of 2081 are 2081. Prime factorization of 2081 in exponential form is:

2081 = 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2081.

LCM(2075,2081) = 52×831×20811
LCM(2075,2081) = 4318075

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1, 5, 25, 83, 415, 2075

Factors of 2081

List of positive integer factors of 2081 that divides 2081 without a remainder.

1, 2081

Least Common Multiple of 2075 and 2081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2075 and 2081, than apply into the LCM equation.

GCF(2075,2081) = 1
LCM(2075,2081) = ( 2075 × 2081) / 1
LCM(2075,2081) = 4318075 / 1
LCM(2075,2081) = 4318075

Properties of LCM 2075 and 2081

(i) The LCM of 2081 and 2075 is associative

LCM of 2075 and 2081 = LCM of 2081 and 2075

Related Least Common Multiples of 2075

Related Least Common Multiples of 2081

Frequently Asked Questions on LCM of 2075 and 2081

1. What is the LCM of 2075 and 2081?

Answer: LCM of 2075 and 2081 is 4318075.

2. What are the Factors of 2075?

Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.

3. What are the Factors of 2081?

Answer: Factors of 2081 are 1, 2081. There are 2 integers that are factors of 2081. The greatest factor of 2081 is 2081.

4. How to Find the LCM of 2075 and 2081?

Answer:

Least Common Multiple of 2075 and 2081 = 4318075

Step 1: Find the prime factorization of 2075

2075 = 5 x 5 x 83

Step 2: Find the prime factorization of 2081

2081 = 2081

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

LCM = 4318075 = 5 x 5 x 83 x 2081

Step 4: Therefore, the least common multiple of 2075 and 2081 is 4318075.