Least Common Multiple of 2084 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 2084 and 2091 the smallest integer that is 4357644 that is divisible by both numbers.

Least Common Multiple (LCM) of 2084 and 2091 is 4357644.

LCM(2084,2091) = 4357644

LCM of 2084 and 2091

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

LCM of:
and

Least Common Multiple of 2084 and 2091

LCM of 2084 and 2091 is 4357644

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2091. First we will calculate the prime factors of 2084 and 2091.

Prime Factorization of 2084


2 2084
2 1042
521 521
1

Prime factors of 2084 are 2,521. Prime factorization of 2084 in exponential form is:

2084 = 22×5211

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 2084 and 2091.

LCM(2084,2091) = 22×31×171×411×5211
LCM(2084,2091) = 4357644

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1, 2, 4, 521, 1042, 2084

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 2084 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 2084 and 2091, than apply into the LCM equation.

GCF(2084,2091) = 1
LCM(2084,2091) = ( 2084 × 2091) / 1
LCM(2084,2091) = 4357644 / 1
LCM(2084,2091) = 4357644

Properties of LCM 2084 and 2091

(i) The LCM of 2091 and 2084 is associative

LCM of 2084 and 2091 = LCM of 2091 and 2084

Related Least Common Multiples of 2084

Related Least Common Multiples of 2091

Frequently Asked Questions on LCM of 2084 and 2091

1. What is the LCM of 2084 and 2091?

Answer: LCM of 2084 and 2091 is 4357644.

2. What are the Factors of 2084?

Answer: Factors of 2084 are 1, 2, 4, 521, 1042, 2084. There are 6 integers that are factors of 2084. The greatest factor of 2084 is 2084.

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 2084 and 2091?

Answer:

Least Common Multiple of 2084 and 2091 = 4357644

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

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 = 4357644 = 2 x 2 x 3 x 17 x 41 x 521

Step 4: Therefore, the least common multiple of 2084 and 2091 is 4357644.