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 7093 the smallest integer that is 50260998 that is divisible by both numbers.
Least Common Multiple (LCM) of 7086 and 7093 is 50260998.
LCM(7086,7093) = 50260998
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 7093. First we will calculate the prime factors of 7086 and 7093.
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 7093
41 | 7093 |
173 | 173 |
1 |
Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:
7093 = 411×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 7086 and 7093.
LCM(7086,7093) = 21×31×411×1731×11811
LCM(7086,7093) = 50260998
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 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1, 41, 173, 7093
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7086 and 7093, than apply into the LCM equation.
GCF(7086,7093) = 1
LCM(7086,7093) = ( 7086 × 7093) / 1
LCM(7086,7093) = 50260998 / 1
LCM(7086,7093) = 50260998
(i) The LCM of 7093 and 7086 is associative
LCM of 7086 and 7093 = LCM of 7093 and 7086
1. What is the LCM of 7086 and 7093?
Answer: LCM of 7086 and 7093 is 50260998.
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 7093?
Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.
4. How to Find the LCM of 7086 and 7093?
Answer:
Least Common Multiple of 7086 and 7093 = 50260998
Step 1: Find the prime factorization of 7086
7086 = 2 x 3 x 1181
Step 2: Find the prime factorization of 7093
7093 = 41 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50260998 = 2 x 3 x 41 x 173 x 1181
Step 4: Therefore, the least common multiple of 7086 and 7093 is 50260998.