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 7092 the smallest integer that is 8375652 that is divisible by both numbers.
Least Common Multiple (LCM) of 7086 and 7092 is 8375652.
LCM(7086,7092) = 8375652
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 7092. First we will calculate the prime factors of 7086 and 7092.
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 7092
2 | 7092 |
2 | 3546 |
3 | 1773 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 7092 are 2, 3,197. Prime factorization of 7092 in exponential form is:
7092 = 22×32×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 7086 and 7092.
LCM(7086,7092) = 22×32×1971×11811
LCM(7086,7092) = 8375652
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 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7086 and 7092, than apply into the LCM equation.
GCF(7086,7092) = 6
LCM(7086,7092) = ( 7086 × 7092) / 6
LCM(7086,7092) = 50253912 / 6
LCM(7086,7092) = 8375652
(i) The LCM of 7092 and 7086 is associative
LCM of 7086 and 7092 = LCM of 7092 and 7086
1. What is the LCM of 7086 and 7092?
Answer: LCM of 7086 and 7092 is 8375652.
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 7092?
Answer: Factors of 7092 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546, 7092. There are 18 integers that are factors of 7092. The greatest factor of 7092 is 7092.
4. How to Find the LCM of 7086 and 7092?
Answer:
Least Common Multiple of 7086 and 7092 = 8375652
Step 1: Find the prime factorization of 7086
7086 = 2 x 3 x 1181
Step 2: Find the prime factorization of 7092
7092 = 2 x 2 x 3 x 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8375652 = 2 x 2 x 3 x 3 x 197 x 1181
Step 4: Therefore, the least common multiple of 7086 and 7092 is 8375652.