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 2086 the smallest integer that is 619542 that is divisible by both numbers.
Least Common Multiple (LCM) of 2079 and 2086 is 619542.
LCM(2079,2086) = 619542
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 2086. First we will calculate the prime factors of 2079 and 2086.
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 2086
2 | 2086 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 2086 are 2, 7,149. Prime factorization of 2086 in exponential form is:
2086 = 21×71×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 2079 and 2086.
LCM(2079,2086) = 21×33×71×111×1491
LCM(2079,2086) = 619542
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 2086
List of positive integer factors of 2086 that divides 2086 without a remainder.
1, 2, 7, 14, 149, 298, 1043, 2086
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2079 and 2086, than apply into the LCM equation.
GCF(2079,2086) = 7
LCM(2079,2086) = ( 2079 × 2086) / 7
LCM(2079,2086) = 4336794 / 7
LCM(2079,2086) = 619542
(i) The LCM of 2086 and 2079 is associative
LCM of 2079 and 2086 = LCM of 2086 and 2079
1. What is the LCM of 2079 and 2086?
Answer: LCM of 2079 and 2086 is 619542.
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 2086?
Answer: Factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086. There are 8 integers that are factors of 2086. The greatest factor of 2086 is 2086.
4. How to Find the LCM of 2079 and 2086?
Answer:
Least Common Multiple of 2079 and 2086 = 619542
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 2086
2086 = 2 x 7 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 619542 = 2 x 3 x 3 x 3 x 7 x 11 x 149
Step 4: Therefore, the least common multiple of 2079 and 2086 is 619542.