Least Common Multiple of 2093 and 2101
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2093 and 2101 the smallest integer that is 4397393 that is divisible by both numbers.
Least Common Multiple (LCM) of 2093 and 2101 is 4397393.
LCM(2093,2101) = 4397393
LCM of 2093 and 2101
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2093 and 2101 by Prime method
- Least Common Multiple of 2093 and 2101 with GCF Formula
LCM of 2093 and 2101 is 4397393
Least common multiple can be found by multiplying the highest exponent prime factors of 2093 and 2101. First we will calculate the prime factors of 2093 and 2101.
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
Prime Factorization of 2101
| 11 | 2101 |
| 191 | 191 |
| 1 |
Prime factors of 2101 are 11,191. Prime factorization of 2101 in exponential form is:
2101 = 111×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2093 and 2101.
LCM(2093,2101) = 71×111×131×231×1911
LCM(2093,2101) = 4397393
Factors of 2093
List of positive integer factors of 2093 that divides 2093 without a remainder.
1, 7, 13, 23, 91, 161, 299, 2093
Factors of 2101
List of positive integer factors of 2101 that divides 2101 without a remainder.
1, 11, 191, 2101
Least Common Multiple of 2093 and 2101 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2093 and 2101, than apply into the LCM equation.
GCF(2093,2101) = 1
LCM(2093,2101) = ( 2093 × 2101) / 1
LCM(2093,2101) = 4397393 / 1
LCM(2093,2101) = 4397393
Properties of LCM 2093 and 2101
(i) The LCM of 2101 and 2093 is associative
LCM of 2093 and 2101 = LCM of 2101 and 2093
Related Least Common Multiples of 2093
Related Least Common Multiples of 2101
Frequently Asked Questions on LCM of 2093 and 2101
1. What is the LCM of 2093 and 2101?
Answer: LCM of 2093 and 2101 is 4397393.
2. 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.
3. What are the Factors of 2101?
Answer: Factors of 2101 are 1, 11, 191, 2101. There are 4 integers that are factors of 2101. The greatest factor of 2101 is 2101.
4. How to Find the LCM of 2093 and 2101?
Answer:
Least Common Multiple of 2093 and 2101 = 4397393
Step 1: Find the prime factorization of 2093
2093 = 7 x 13 x 23
Step 2: Find the prime factorization of 2101
2101 = 11 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4397393 = 7 x 11 x 13 x 23 x 191
Step 4: Therefore, the least common multiple of 2093 and 2101 is 4397393.