Least Common Multiple of 2087 and 2093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2087 and 2093 the smallest integer that is 4368091 that is divisible by both numbers.

Least Common Multiple (LCM) of 2087 and 2093 is 4368091.

LCM(2087,2093) = 4368091

LCM of 2087 and 2093

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

LCM of:
and

Least Common Multiple of 2087 and 2093

LCM of 2087 and 2093 is 4368091

Least common multiple can be found by multiplying the highest exponent prime factors of 2087 and 2093. First we will calculate the prime factors of 2087 and 2093.

Prime Factorization of 2087


2087 2087
1

Prime factors of 2087 are 2087. Prime factorization of 2087 in exponential form is:

2087 = 20871

Prime Factorization of 2093


7 2093
13 299
23 23
1

Prime factors of 2093 are 7, 13,23. Prime factorization of 2093 in exponential form is:

2093 = 71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2087 and 2093.

LCM(2087,2093) = 71×131×231×20871
LCM(2087,2093) = 4368091

Factors of 2087

List of positive integer factors of 2087 that divides 2087 without a remainder.

1, 2087

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1, 7, 13, 23, 91, 161, 299, 2093

Least Common Multiple of 2087 and 2093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2087 and 2093, than apply into the LCM equation.

GCF(2087,2093) = 1
LCM(2087,2093) = ( 2087 × 2093) / 1
LCM(2087,2093) = 4368091 / 1
LCM(2087,2093) = 4368091

Properties of LCM 2087 and 2093

(i) The LCM of 2093 and 2087 is associative

LCM of 2087 and 2093 = LCM of 2093 and 2087

Related Least Common Multiples of 2087

Related Least Common Multiples of 2093

Frequently Asked Questions on LCM of 2087 and 2093

1. What is the LCM of 2087 and 2093?

Answer: LCM of 2087 and 2093 is 4368091.

2. What are the Factors of 2087?

Answer: Factors of 2087 are 1, 2087. There are 2 integers that are factors of 2087. The greatest factor of 2087 is 2087.

3. What are the Factors of 2093?

Answer: Factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093. There are 8 integers that are factors of 2093. The greatest factor of 2093 is 2093.

4. How to Find the LCM of 2087 and 2093?

Answer:

Least Common Multiple of 2087 and 2093 = 4368091

Step 1: Find the prime factorization of 2087

2087 = 2087

Step 2: Find the prime factorization of 2093

2093 = 7 x 13 x 23

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

LCM = 4368091 = 7 x 13 x 23 x 2087

Step 4: Therefore, the least common multiple of 2087 and 2093 is 4368091.