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 7089 the smallest integer that is 50225565 that is divisible by both numbers.
Least Common Multiple (LCM) of 7085 and 7089 is 50225565.
LCM(7085,7089) = 50225565
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 7085 and 7089. First we will calculate the prime factors of 7085 and 7089.
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 7089
3 | 7089 |
17 | 2363 |
139 | 139 |
1 |
Prime factors of 7089 are 3, 17,139. Prime factorization of 7089 in exponential form is:
7089 = 31×171×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7089.
LCM(7085,7089) = 31×51×131×171×1091×1391
LCM(7085,7089) = 50225565
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 7089
List of positive integer factors of 7089 that divides 7089 without a remainder.
1, 3, 17, 51, 139, 417, 2363, 7089
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7089, than apply into the LCM equation.
GCF(7085,7089) = 1
LCM(7085,7089) = ( 7085 × 7089) / 1
LCM(7085,7089) = 50225565 / 1
LCM(7085,7089) = 50225565
(i) The LCM of 7089 and 7085 is associative
LCM of 7085 and 7089 = LCM of 7089 and 7085
1. What is the LCM of 7085 and 7089?
Answer: LCM of 7085 and 7089 is 50225565.
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 7089?
Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.
4. How to Find the LCM of 7085 and 7089?
Answer:
Least Common Multiple of 7085 and 7089 = 50225565
Step 1: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 2: Find the prime factorization of 7089
7089 = 3 x 17 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50225565 = 3 x 5 x 13 x 17 x 109 x 139
Step 4: Therefore, the least common multiple of 7085 and 7089 is 50225565.