Least Common Multiple of 2087 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 2087 and 2091 the smallest integer that is 4363917 that is divisible by both numbers.

Least Common Multiple (LCM) of 2087 and 2091 is 4363917.

LCM(2087,2091) = 4363917

LCM of 2087 and 2091

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

LCM of:
and

Least Common Multiple of 2087 and 2091

LCM of 2087 and 2091 is 4363917

Least common multiple can be found by multiplying the highest exponent prime factors of 2087 and 2091. First we will calculate the prime factors of 2087 and 2091.

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 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 2087 and 2091.

LCM(2087,2091) = 31×171×411×20871
LCM(2087,2091) = 4363917

Factors of 2087

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

1, 2087

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 2087 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 2087 and 2091, than apply into the LCM equation.

GCF(2087,2091) = 1
LCM(2087,2091) = ( 2087 × 2091) / 1
LCM(2087,2091) = 4363917 / 1
LCM(2087,2091) = 4363917

Properties of LCM 2087 and 2091

(i) The LCM of 2091 and 2087 is associative

LCM of 2087 and 2091 = LCM of 2091 and 2087

Related Least Common Multiples of 2087

Related Least Common Multiples of 2091

Frequently Asked Questions on LCM of 2087 and 2091

1. What is the LCM of 2087 and 2091?

Answer: LCM of 2087 and 2091 is 4363917.

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 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 2087 and 2091?

Answer:

Least Common Multiple of 2087 and 2091 = 4363917

Step 1: Find the prime factorization of 2087

2087 = 2087

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 = 4363917 = 3 x 17 x 41 x 2087

Step 4: Therefore, the least common multiple of 2087 and 2091 is 4363917.