Least Common Multiple of 6085 and 6090
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6085 and 6090 the smallest integer that is 7411530 that is divisible by both numbers.
Least Common Multiple (LCM) of 6085 and 6090 is 7411530.
LCM(6085,6090) = 7411530
LCM of 6085 and 6090
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6085 and 6090 by Prime method
- Least Common Multiple of 6085 and 6090 with GCF Formula
LCM of 6085 and 6090 is 7411530
Least common multiple can be found by multiplying the highest exponent prime factors of 6085 and 6090. First we will calculate the prime factors of 6085 and 6090.
Prime Factorization of 6085
| 5 | 6085 |
| 1217 | 1217 |
| 1 |
Prime factors of 6085 are 5,1217. Prime factorization of 6085 in exponential form is:
6085 = 51×12171
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 6085 and 6090.
LCM(6085,6090) = 21×31×51×71×291×12171
LCM(6085,6090) = 7411530
Factors of 6085
List of positive integer factors of 6085 that divides 6085 without a remainder.
1, 5, 1217, 6085
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
Least Common Multiple of 6085 and 6090 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6085 and 6090, than apply into the LCM equation.
GCF(6085,6090) = 5
LCM(6085,6090) = ( 6085 × 6090) / 5
LCM(6085,6090) = 37057650 / 5
LCM(6085,6090) = 7411530
Properties of LCM 6085 and 6090
(i) The LCM of 6090 and 6085 is associative
LCM of 6085 and 6090 = LCM of 6090 and 6085
Related Least Common Multiples of 6085
Related Least Common Multiples of 6090
Frequently Asked Questions on LCM of 6085 and 6090
1. What is the LCM of 6085 and 6090?
Answer: LCM of 6085 and 6090 is 7411530.
2. What are the Factors of 6085?
Answer: Factors of 6085 are 1, 5, 1217, 6085. There are 4 integers that are factors of 6085. The greatest factor of 6085 is 6085.
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 6085 and 6090?
Answer:
Least Common Multiple of 6085 and 6090 = 7411530
Step 1: Find the prime factorization of 6085
6085 = 5 x 1217
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 = 7411530 = 2 x 3 x 5 x 7 x 29 x 1217
Step 4: Therefore, the least common multiple of 6085 and 6090 is 7411530.