Least Common Multiple of 2075 and 2083

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 2083 the smallest integer that is 4322225 that is divisible by both numbers.

Least Common Multiple (LCM) of 2075 and 2083 is 4322225.

LCM(2075,2083) = 4322225

LCM of 2075 and 2083

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

LCM of:
and

Least Common Multiple of 2075 and 2083

LCM of 2075 and 2083 is 4322225

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2083. First we will calculate the prime factors of 2075 and 2083.

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 2083


2083 2083
1

Prime factors of 2083 are 2083. Prime factorization of 2083 in exponential form is:

2083 = 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2083.

LCM(2075,2083) = 52×831×20831
LCM(2075,2083) = 4322225

Factors of 2075

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

1, 5, 25, 83, 415, 2075

Factors of 2083

List of positive integer factors of 2083 that divides 2083 without a remainder.

1, 2083

Least Common Multiple of 2075 and 2083 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 2083, than apply into the LCM equation.

GCF(2075,2083) = 1
LCM(2075,2083) = ( 2075 × 2083) / 1
LCM(2075,2083) = 4322225 / 1
LCM(2075,2083) = 4322225

Properties of LCM 2075 and 2083

(i) The LCM of 2083 and 2075 is associative

LCM of 2075 and 2083 = LCM of 2083 and 2075

Related Least Common Multiples of 2075

Related Least Common Multiples of 2083

Frequently Asked Questions on LCM of 2075 and 2083

1. What is the LCM of 2075 and 2083?

Answer: LCM of 2075 and 2083 is 4322225.

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 2083?

Answer: Factors of 2083 are 1, 2083. There are 2 integers that are factors of 2083. The greatest factor of 2083 is 2083.

4. How to Find the LCM of 2075 and 2083?

Answer:

Least Common Multiple of 2075 and 2083 = 4322225

Step 1: Find the prime factorization of 2075

2075 = 5 x 5 x 83

Step 2: Find the prime factorization of 2083

2083 = 2083

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

LCM = 4322225 = 5 x 5 x 83 x 2083

Step 4: Therefore, the least common multiple of 2075 and 2083 is 4322225.