Least Common Multiple of 2085 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 2085 and 2091 the smallest integer that is 1453245 that is divisible by both numbers.

Least Common Multiple (LCM) of 2085 and 2091 is 1453245.

LCM(2085,2091) = 1453245

LCM of 2085 and 2091

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

LCM of:
and

Least Common Multiple of 2085 and 2091

LCM of 2085 and 2091 is 1453245

Least common multiple can be found by multiplying the highest exponent prime factors of 2085 and 2091. First we will calculate the prime factors of 2085 and 2091.

Prime Factorization of 2085


3 2085
5 695
139 139
1

Prime factors of 2085 are 3, 5,139. Prime factorization of 2085 in exponential form is:

2085 = 31×51×1391

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 2085 and 2091.

LCM(2085,2091) = 31×51×171×411×1391
LCM(2085,2091) = 1453245

Factors of 2085

List of positive integer factors of 2085 that divides 2085 without a remainder.

1, 3, 5, 15, 139, 417, 695, 2085

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 2085 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 2085 and 2091, than apply into the LCM equation.

GCF(2085,2091) = 3
LCM(2085,2091) = ( 2085 × 2091) / 3
LCM(2085,2091) = 4359735 / 3
LCM(2085,2091) = 1453245

Properties of LCM 2085 and 2091

(i) The LCM of 2091 and 2085 is associative

LCM of 2085 and 2091 = LCM of 2091 and 2085

Related Least Common Multiples of 2085

Related Least Common Multiples of 2091

Frequently Asked Questions on LCM of 2085 and 2091

1. What is the LCM of 2085 and 2091?

Answer: LCM of 2085 and 2091 is 1453245.

2. What are the Factors of 2085?

Answer: Factors of 2085 are 1, 3, 5, 15, 139, 417, 695, 2085. There are 8 integers that are factors of 2085. The greatest factor of 2085 is 2085.

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 2085 and 2091?

Answer:

Least Common Multiple of 2085 and 2091 = 1453245

Step 1: Find the prime factorization of 2085

2085 = 3 x 5 x 139

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 = 1453245 = 3 x 5 x 17 x 41 x 139

Step 4: Therefore, the least common multiple of 2085 and 2091 is 1453245.