Least Common Multiple of 7085 and 7093
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7085 and 7093 the smallest integer that is 50253905 that is divisible by both numbers.
Least Common Multiple (LCM) of 7085 and 7093 is 50253905.
LCM(7085,7093) = 50253905
LCM of 7085 and 7093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7085 and 7093 by Prime method
- Least Common Multiple of 7085 and 7093 with GCF Formula
LCM of 7085 and 7093 is 50253905
Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7093. First we will calculate the prime factors of 7085 and 7093.
Prime Factorization of 7085
| 5 | 7085 |
| 13 | 1417 |
| 109 | 109 |
| 1 |
Prime factors of 7085 are 5, 13,109. Prime factorization of 7085 in exponential form is:
7085 = 51×131×1091
Prime Factorization of 7093
| 41 | 7093 |
| 173 | 173 |
| 1 |
Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:
7093 = 411×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7093.
LCM(7085,7093) = 51×131×411×1091×1731
LCM(7085,7093) = 50253905
Factors of 7085
List of positive integer factors of 7085 that divides 7085 without a remainder.
1, 5, 13, 65, 109, 545, 1417, 7085
Factors of 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1, 41, 173, 7093
Least Common Multiple of 7085 and 7093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7093, than apply into the LCM equation.
GCF(7085,7093) = 1
LCM(7085,7093) = ( 7085 × 7093) / 1
LCM(7085,7093) = 50253905 / 1
LCM(7085,7093) = 50253905
Properties of LCM 7085 and 7093
(i) The LCM of 7093 and 7085 is associative
LCM of 7085 and 7093 = LCM of 7093 and 7085
Related Least Common Multiples of 7085
Related Least Common Multiples of 7093
Frequently Asked Questions on LCM of 7085 and 7093
1. What is the LCM of 7085 and 7093?
Answer: LCM of 7085 and 7093 is 50253905.
2. What are the Factors of 7085?
Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.
3. What are the Factors of 7093?
Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.
4. How to Find the LCM of 7085 and 7093?
Answer:
Least Common Multiple of 7085 and 7093 = 50253905
Step 1: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 2: Find the prime factorization of 7093
7093 = 41 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50253905 = 5 x 13 x 41 x 109 x 173
Step 4: Therefore, the least common multiple of 7085 and 7093 is 50253905.