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 2087 the smallest integer that is 4349308 that is divisible by both numbers.
Least Common Multiple (LCM) of 2084 and 2087 is 4349308.
LCM(2084,2087) = 4349308
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 2084 and 2087. First we will calculate the prime factors of 2084 and 2087.
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 2087
2087 | 2087 |
1 |
Prime factors of 2087 are 2087. Prime factorization of 2087 in exponential form is:
2087 = 20871
Now multiplying the highest exponent prime factors to calculate the LCM of 2084 and 2087.
LCM(2084,2087) = 22×5211×20871
LCM(2084,2087) = 4349308
Factors of 2084
List of positive integer factors of 2084 that divides 2084 without a remainder.
1, 2, 4, 521, 1042, 2084
Factors of 2087
List of positive integer factors of 2087 that divides 2087 without a remainder.
1, 2087
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2084 and 2087, than apply into the LCM equation.
GCF(2084,2087) = 1
LCM(2084,2087) = ( 2084 × 2087) / 1
LCM(2084,2087) = 4349308 / 1
LCM(2084,2087) = 4349308
(i) The LCM of 2087 and 2084 is associative
LCM of 2084 and 2087 = LCM of 2087 and 2084
1. What is the LCM of 2084 and 2087?
Answer: LCM of 2084 and 2087 is 4349308.
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 2087?
Answer: Factors of 2087 are 1, 2087. There are 2 integers that are factors of 2087. The greatest factor of 2087 is 2087.
4. How to Find the LCM of 2084 and 2087?
Answer:
Least Common Multiple of 2084 and 2087 = 4349308
Step 1: Find the prime factorization of 2084
2084 = 2 x 2 x 521
Step 2: Find the prime factorization of 2087
2087 = 2087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4349308 = 2 x 2 x 521 x 2087
Step 4: Therefore, the least common multiple of 2084 and 2087 is 4349308.