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 7094 the smallest integer that is 25134042 that is divisible by both numbers.
Least Common Multiple (LCM) of 7086 and 7094 is 25134042.
LCM(7086,7094) = 25134042
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 7094. First we will calculate the prime factors of 7086 and 7094.
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 7094
2 | 7094 |
3547 | 3547 |
1 |
Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:
7094 = 21×35471
Now multiplying the highest exponent prime factors to calculate the LCM of 7086 and 7094.
LCM(7086,7094) = 21×31×11811×35471
LCM(7086,7094) = 25134042
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 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1, 2, 3547, 7094
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7086 and 7094, than apply into the LCM equation.
GCF(7086,7094) = 2
LCM(7086,7094) = ( 7086 × 7094) / 2
LCM(7086,7094) = 50268084 / 2
LCM(7086,7094) = 25134042
(i) The LCM of 7094 and 7086 is associative
LCM of 7086 and 7094 = LCM of 7094 and 7086
1. What is the LCM of 7086 and 7094?
Answer: LCM of 7086 and 7094 is 25134042.
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 7094?
Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.
4. How to Find the LCM of 7086 and 7094?
Answer:
Least Common Multiple of 7086 and 7094 = 25134042
Step 1: Find the prime factorization of 7086
7086 = 2 x 3 x 1181
Step 2: Find the prime factorization of 7094
7094 = 2 x 3547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25134042 = 2 x 3 x 1181 x 3547
Step 4: Therefore, the least common multiple of 7086 and 7094 is 25134042.