Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7086 and 7091 the smallest integer that is 50246826 that is divisible by both numbers.
Least Common Multiple (LCM) of 7086 and 7091 is 50246826.
LCM(7086,7091) = 50246826
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 7086 and 7091. First we will calculate the prime factors of 7086 and 7091.
Prime Factorization of 7086
2 | 7086 |
3 | 3543 |
1181 | 1181 |
1 |
Prime factors of 7086 are 2, 3,1181. Prime factorization of 7086 in exponential form is:
7086 = 21×31×11811
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 7086 and 7091.
LCM(7086,7091) = 21×31×71×10131×11811
LCM(7086,7091) = 50246826
Factors of 7086
List of positive integer factors of 7086 that divides 7086 without a remainder.
1, 2, 3, 6, 1181, 2362, 3543, 7086
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 7086 and 7091, than apply into the LCM equation.
GCF(7086,7091) = 1
LCM(7086,7091) = ( 7086 × 7091) / 1
LCM(7086,7091) = 50246826 / 1
LCM(7086,7091) = 50246826
(i) The LCM of 7091 and 7086 is associative
LCM of 7086 and 7091 = LCM of 7091 and 7086
1. What is the LCM of 7086 and 7091?
Answer: LCM of 7086 and 7091 is 50246826.
2. What are the Factors of 7086?
Answer: Factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086. There are 8 integers that are factors of 7086. The greatest factor of 7086 is 7086.
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 7086 and 7091?
Answer:
Least Common Multiple of 7086 and 7091 = 50246826
Step 1: Find the prime factorization of 7086
7086 = 2 x 3 x 1181
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 = 50246826 = 2 x 3 x 7 x 1013 x 1181
Step 4: Therefore, the least common multiple of 7086 and 7091 is 50246826.