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 7091 the smallest integer that is 50239735 that is divisible by both numbers.
Least Common Multiple (LCM) of 7085 and 7091 is 50239735.
LCM(7085,7091) = 50239735
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 7091. First we will calculate the prime factors of 7085 and 7091.
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 7091
7 | 7091 |
1013 | 1013 |
1 |
Prime factors of 7091 are 7,1013. Prime factorization of 7091 in exponential form is:
7091 = 71×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7091.
LCM(7085,7091) = 51×71×131×1091×10131
LCM(7085,7091) = 50239735
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 7091
List of positive integer factors of 7091 that divides 7091 without a remainder.
1, 7, 1013, 7091
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7091, than apply into the LCM equation.
GCF(7085,7091) = 1
LCM(7085,7091) = ( 7085 × 7091) / 1
LCM(7085,7091) = 50239735 / 1
LCM(7085,7091) = 50239735
(i) The LCM of 7091 and 7085 is associative
LCM of 7085 and 7091 = LCM of 7091 and 7085
1. What is the LCM of 7085 and 7091?
Answer: LCM of 7085 and 7091 is 50239735.
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 7091?
Answer: Factors of 7091 are 1, 7, 1013, 7091. There are 4 integers that are factors of 7091. The greatest factor of 7091 is 7091.
4. How to Find the LCM of 7085 and 7091?
Answer:
Least Common Multiple of 7085 and 7091 = 50239735
Step 1: Find the prime factorization of 7085
7085 = 5 x 13 x 109
Step 2: Find the prime factorization of 7091
7091 = 7 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50239735 = 5 x 7 x 13 x 109 x 1013
Step 4: Therefore, the least common multiple of 7085 and 7091 is 50239735.