Least Common Multiple of 7081 and 7085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7081 and 7085 the smallest integer that is 50168885 that is divisible by both numbers.
Least Common Multiple (LCM) of 7081 and 7085 is 50168885.
LCM(7081,7085) = 50168885
LCM of 7081 and 7085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7081 and 7085 by Prime method
- Least Common Multiple of 7081 and 7085 with GCF Formula
LCM of 7081 and 7085 is 50168885
Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7085. First we will calculate the prime factors of 7081 and 7085.
Prime Factorization of 7081
| 73 | 7081 |
| 97 | 97 |
| 1 |
Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:
7081 = 731×971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7085.
LCM(7081,7085) = 51×131×731×971×1091
LCM(7081,7085) = 50168885
Factors of 7081
List of positive integer factors of 7081 that divides 7081 without a remainder.
1, 73, 97, 7081
Factors of 7085
List of positive integer factors of 7085 that divides 7085 without a remainder.
1, 5, 13, 65, 109, 545, 1417, 7085
Least Common Multiple of 7081 and 7085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7085, than apply into the LCM equation.
GCF(7081,7085) = 1
LCM(7081,7085) = ( 7081 × 7085) / 1
LCM(7081,7085) = 50168885 / 1
LCM(7081,7085) = 50168885
Properties of LCM 7081 and 7085
(i) The LCM of 7085 and 7081 is associative
LCM of 7081 and 7085 = LCM of 7085 and 7081
Related Least Common Multiples of 7081
Related Least Common Multiples of 7085
Frequently Asked Questions on LCM of 7081 and 7085
1. What is the LCM of 7081 and 7085?
Answer: LCM of 7081 and 7085 is 50168885.
2. What are the Factors of 7081?
Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.
3. 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.
4. How to Find the LCM of 7081 and 7085?
Answer:
Least Common Multiple of 7081 and 7085 = 50168885
Step 1: Find the prime factorization of 7081
7081 = 73 x 97
Step 2: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50168885 = 5 x 13 x 73 x 97 x 109
Step 4: Therefore, the least common multiple of 7081 and 7085 is 50168885.