Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2083 and 2089 the smallest integer that is 4351387 that is divisible by both numbers.
Least Common Multiple (LCM) of 2083 and 2089 is 4351387.
LCM(2083,2089) = 4351387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2083 and 2089. First we will calculate the prime factors of 2083 and 2089.
Prime Factorization of 2083
2083 | 2083 |
1 |
Prime factors of 2083 are 2083. Prime factorization of 2083 in exponential form is:
2083 = 20831
Prime Factorization of 2089
2089 | 2089 |
1 |
Prime factors of 2089 are 2089. Prime factorization of 2089 in exponential form is:
2089 = 20891
Now multiplying the highest exponent prime factors to calculate the LCM of 2083 and 2089.
LCM(2083,2089) = 20831×20891
LCM(2083,2089) = 4351387
Factors of 2083
List of positive integer factors of 2083 that divides 2083 without a remainder.
1, 2083
Factors of 2089
List of positive integer factors of 2089 that divides 2089 without a remainder.
1, 2089
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2083 and 2089, than apply into the LCM equation.
GCF(2083,2089) = 1
LCM(2083,2089) = ( 2083 × 2089) / 1
LCM(2083,2089) = 4351387 / 1
LCM(2083,2089) = 4351387
(i) The LCM of 2089 and 2083 is associative
LCM of 2083 and 2089 = LCM of 2089 and 2083
1. What is the LCM of 2083 and 2089?
Answer: LCM of 2083 and 2089 is 4351387.
2. What are the Factors of 2083?
Answer: Factors of 2083 are 1, 2083. There are 2 integers that are factors of 2083. The greatest factor of 2083 is 2083.
3. What are the Factors of 2089?
Answer: Factors of 2089 are 1, 2089. There are 2 integers that are factors of 2089. The greatest factor of 2089 is 2089.
4. How to Find the LCM of 2083 and 2089?
Answer:
Least Common Multiple of 2083 and 2089 = 4351387
Step 1: Find the prime factorization of 2083
2083 = 2083
Step 2: Find the prime factorization of 2089
2089 = 2089
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4351387 = 2083 x 2089
Step 4: Therefore, the least common multiple of 2083 and 2089 is 4351387.