Least Common Multiple of 2083 and 2091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2083 and 2091 the smallest integer that is 4355553 that is divisible by both numbers.

Least Common Multiple (LCM) of 2083 and 2091 is 4355553.

LCM(2083,2091) = 4355553

LCM of 2083 and 2091

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

LCM of:
and

Least Common Multiple of 2083 and 2091

LCM of 2083 and 2091 is 4355553

Least common multiple can be found by multiplying the highest exponent prime factors of 2083 and 2091. First we will calculate the prime factors of 2083 and 2091.

Prime Factorization of 2083


2083 2083
1

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

2083 = 20831

Prime Factorization of 2091


3 2091
17 697
41 41
1

Prime factors of 2091 are 3, 17,41. Prime factorization of 2091 in exponential form is:

2091 = 31×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2083 and 2091.

LCM(2083,2091) = 31×171×411×20831
LCM(2083,2091) = 4355553

Factors of 2083

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

1, 2083

Factors of 2091

List of positive integer factors of 2091 that divides 2091 without a remainder.

1, 3, 17, 41, 51, 123, 697, 2091

Least Common Multiple of 2083 and 2091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2083 and 2091, than apply into the LCM equation.

GCF(2083,2091) = 1
LCM(2083,2091) = ( 2083 × 2091) / 1
LCM(2083,2091) = 4355553 / 1
LCM(2083,2091) = 4355553

Properties of LCM 2083 and 2091

(i) The LCM of 2091 and 2083 is associative

LCM of 2083 and 2091 = LCM of 2091 and 2083

Related Least Common Multiples of 2083

Related Least Common Multiples of 2091

Frequently Asked Questions on LCM of 2083 and 2091

1. What is the LCM of 2083 and 2091?

Answer: LCM of 2083 and 2091 is 4355553.

2. 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.

3. What are the Factors of 2091?

Answer: Factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091. There are 8 integers that are factors of 2091. The greatest factor of 2091 is 2091.

4. How to Find the LCM of 2083 and 2091?

Answer:

Least Common Multiple of 2083 and 2091 = 4355553

Step 1: Find the prime factorization of 2083

2083 = 2083

Step 2: Find the prime factorization of 2091

2091 = 3 x 17 x 41

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

LCM = 4355553 = 3 x 17 x 41 x 2083

Step 4: Therefore, the least common multiple of 2083 and 2091 is 4355553.