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 7090 the smallest integer that is 10046530 that is divisible by both numbers.
Least Common Multiple (LCM) of 7085 and 7090 is 10046530.
LCM(7085,7090) = 10046530
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 7090. First we will calculate the prime factors of 7085 and 7090.
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 7090
2 | 7090 |
5 | 3545 |
709 | 709 |
1 |
Prime factors of 7090 are 2, 5,709. Prime factorization of 7090 in exponential form is:
7090 = 21×51×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7090.
LCM(7085,7090) = 21×51×131×1091×7091
LCM(7085,7090) = 10046530
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 7090
List of positive integer factors of 7090 that divides 7090 without a remainder.
1, 2, 5, 10, 709, 1418, 3545, 7090
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7090, than apply into the LCM equation.
GCF(7085,7090) = 5
LCM(7085,7090) = ( 7085 × 7090) / 5
LCM(7085,7090) = 50232650 / 5
LCM(7085,7090) = 10046530
(i) The LCM of 7090 and 7085 is associative
LCM of 7085 and 7090 = LCM of 7090 and 7085
1. What is the LCM of 7085 and 7090?
Answer: LCM of 7085 and 7090 is 10046530.
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 7090?
Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.
4. How to Find the LCM of 7085 and 7090?
Answer:
Least Common Multiple of 7085 and 7090 = 10046530
Step 1: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 2: Find the prime factorization of 7090
7090 = 2 x 5 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10046530 = 2 x 5 x 13 x 109 x 709
Step 4: Therefore, the least common multiple of 7085 and 7090 is 10046530.