Least Common Multiple of 2085 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 2085 and 2093 the smallest integer that is 4363905 that is divisible by both numbers.
Least Common Multiple (LCM) of 2085 and 2093 is 4363905.
LCM(2085,2093) = 4363905
LCM of 2085 and 2093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2085 and 2093 by Prime method
- Least Common Multiple of 2085 and 2093 with GCF Formula
LCM of 2085 and 2093 is 4363905
Least common multiple can be found by multiplying the highest exponent prime factors of 2085 and 2093. First we will calculate the prime factors of 2085 and 2093.
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 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 2085 and 2093.
LCM(2085,2093) = 31×51×71×131×231×1391
LCM(2085,2093) = 4363905
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 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 2085 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 2085 and 2093, than apply into the LCM equation.
GCF(2085,2093) = 1
LCM(2085,2093) = ( 2085 × 2093) / 1
LCM(2085,2093) = 4363905 / 1
LCM(2085,2093) = 4363905
Properties of LCM 2085 and 2093
(i) The LCM of 2093 and 2085 is associative
LCM of 2085 and 2093 = LCM of 2093 and 2085
Related Least Common Multiples of 2085
Related Least Common Multiples of 2093
Frequently Asked Questions on LCM of 2085 and 2093
1. What is the LCM of 2085 and 2093?
Answer: LCM of 2085 and 2093 is 4363905.
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 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 2085 and 2093?
Answer:
Least Common Multiple of 2085 and 2093 = 4363905
Step 1: Find the prime factorization of 2085
2085 = 3 x 5 x 139
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 = 4363905 = 3 x 5 x 7 x 13 x 23 x 139
Step 4: Therefore, the least common multiple of 2085 and 2093 is 4363905.