Least Common Multiple of 9078 and 9085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9078 and 9085 the smallest integer that is 82473630 that is divisible by both numbers.
Least Common Multiple (LCM) of 9078 and 9085 is 82473630.
LCM(9078,9085) = 82473630
LCM of 9078 and 9085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9078 and 9085 by Prime method
- Least Common Multiple of 9078 and 9085 with GCF Formula
LCM of 9078 and 9085 is 82473630
Least common multiple can be found by multiplying the highest exponent prime factors of 9078 and 9085. First we will calculate the prime factors of 9078 and 9085.
Prime Factorization of 9078
| 2 | 9078 |
| 3 | 4539 |
| 17 | 1513 |
| 89 | 89 |
| 1 |
Prime factors of 9078 are 2, 3, 17,89. Prime factorization of 9078 in exponential form is:
9078 = 21×31×171×891
Prime Factorization of 9085
| 5 | 9085 |
| 23 | 1817 |
| 79 | 79 |
| 1 |
Prime factors of 9085 are 5, 23,79. Prime factorization of 9085 in exponential form is:
9085 = 51×231×791
Now multiplying the highest exponent prime factors to calculate the LCM of 9078 and 9085.
LCM(9078,9085) = 21×31×51×171×231×791×891
LCM(9078,9085) = 82473630
Factors of 9078
List of positive integer factors of 9078 that divides 9078 without a remainder.
1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
Factors of 9085
List of positive integer factors of 9085 that divides 9085 without a remainder.
1, 5, 23, 79, 115, 395, 1817, 9085
Least Common Multiple of 9078 and 9085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9078 and 9085, than apply into the LCM equation.
GCF(9078,9085) = 1
LCM(9078,9085) = ( 9078 × 9085) / 1
LCM(9078,9085) = 82473630 / 1
LCM(9078,9085) = 82473630
Properties of LCM 9078 and 9085
(i) The LCM of 9085 and 9078 is associative
LCM of 9078 and 9085 = LCM of 9085 and 9078
Related Least Common Multiples of 9078
Related Least Common Multiples of 9085
Frequently Asked Questions on LCM of 9078 and 9085
1. What is the LCM of 9078 and 9085?
Answer: LCM of 9078 and 9085 is 82473630.
2. What are the Factors of 9078?
Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.
3. What are the Factors of 9085?
Answer: Factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085. There are 8 integers that are factors of 9085. The greatest factor of 9085 is 9085.
4. How to Find the LCM of 9078 and 9085?
Answer:
Least Common Multiple of 9078 and 9085 = 82473630
Step 1: Find the prime factorization of 9078
9078 = 2 x 3 x 17 x 89
Step 2: Find the prime factorization of 9085
9085 = 5 x 23 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82473630 = 2 x 3 x 5 x 17 x 23 x 79 x 89
Step 4: Therefore, the least common multiple of 9078 and 9085 is 82473630.