Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2079 and 2087 the smallest integer that is 4338873 that is divisible by both numbers.
Least Common Multiple (LCM) of 2079 and 2087 is 4338873.
LCM(2079,2087) = 4338873
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 2079 and 2087. First we will calculate the prime factors of 2079 and 2087.
Prime Factorization of 2079
3 | 2079 |
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 2079 are 3, 7,11. Prime factorization of 2079 in exponential form is:
2079 = 33×71×111
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 2079 and 2087.
LCM(2079,2087) = 33×71×111×20871
LCM(2079,2087) = 4338873
Factors of 2079
List of positive integer factors of 2079 that divides 2079 without a remainder.
1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
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 2079 and 2087, than apply into the LCM equation.
GCF(2079,2087) = 1
LCM(2079,2087) = ( 2079 × 2087) / 1
LCM(2079,2087) = 4338873 / 1
LCM(2079,2087) = 4338873
(i) The LCM of 2087 and 2079 is associative
LCM of 2079 and 2087 = LCM of 2087 and 2079
1. What is the LCM of 2079 and 2087?
Answer: LCM of 2079 and 2087 is 4338873.
2. What are the Factors of 2079?
Answer: Factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079. There are 16 integers that are factors of 2079. The greatest factor of 2079 is 2079.
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 2079 and 2087?
Answer:
Least Common Multiple of 2079 and 2087 = 4338873
Step 1: Find the prime factorization of 2079
2079 = 3 x 3 x 3 x 7 x 11
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 = 4338873 = 3 x 3 x 3 x 7 x 11 x 2087
Step 4: Therefore, the least common multiple of 2079 and 2087 is 4338873.