Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6086 and 6090 the smallest integer that is 18531870 that is divisible by both numbers.
Least Common Multiple (LCM) of 6086 and 6090 is 18531870.
LCM(6086,6090) = 18531870
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 6086 and 6090. First we will calculate the prime factors of 6086 and 6090.
Prime Factorization of 6086
2 | 6086 |
17 | 3043 |
179 | 179 |
1 |
Prime factors of 6086 are 2, 17,179. Prime factorization of 6086 in exponential form is:
6086 = 21×171×1791
Prime Factorization of 6090
2 | 6090 |
3 | 3045 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 6090 are 2, 3, 5, 7,29. Prime factorization of 6090 in exponential form is:
6090 = 21×31×51×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6086 and 6090.
LCM(6086,6090) = 21×31×51×71×171×291×1791
LCM(6086,6090) = 18531870
Factors of 6086
List of positive integer factors of 6086 that divides 6086 without a remainder.
1, 2, 17, 34, 179, 358, 3043, 6086
Factors of 6090
List of positive integer factors of 6090 that divides 6090 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6086 and 6090, than apply into the LCM equation.
GCF(6086,6090) = 2
LCM(6086,6090) = ( 6086 × 6090) / 2
LCM(6086,6090) = 37063740 / 2
LCM(6086,6090) = 18531870
(i) The LCM of 6090 and 6086 is associative
LCM of 6086 and 6090 = LCM of 6090 and 6086
1. What is the LCM of 6086 and 6090?
Answer: LCM of 6086 and 6090 is 18531870.
2. What are the Factors of 6086?
Answer: Factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086. There are 8 integers that are factors of 6086. The greatest factor of 6086 is 6086.
3. What are the Factors of 6090?
Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.
4. How to Find the LCM of 6086 and 6090?
Answer:
Least Common Multiple of 6086 and 6090 = 18531870
Step 1: Find the prime factorization of 6086
6086 = 2 x 17 x 179
Step 2: Find the prime factorization of 6090
6090 = 2 x 3 x 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18531870 = 2 x 3 x 5 x 7 x 17 x 29 x 179
Step 4: Therefore, the least common multiple of 6086 and 6090 is 18531870.