Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7188 and 7192 the smallest integer that is 12924024 that is divisible by both numbers.
Least Common Multiple (LCM) of 7188 and 7192 is 12924024.
LCM(7188,7192) = 12924024
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 7188 and 7192. First we will calculate the prime factors of 7188 and 7192.
Prime Factorization of 7188
2 | 7188 |
2 | 3594 |
3 | 1797 |
599 | 599 |
1 |
Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:
7188 = 22×31×5991
Prime Factorization of 7192
2 | 7192 |
2 | 3596 |
2 | 1798 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 7192 are 2, 29,31. Prime factorization of 7192 in exponential form is:
7192 = 23×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7188 and 7192.
LCM(7188,7192) = 23×31×291×311×5991
LCM(7188,7192) = 12924024
Factors of 7188
List of positive integer factors of 7188 that divides 7188 without a remainder.
1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188
Factors of 7192
List of positive integer factors of 7192 that divides 7192 without a remainder.
1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7188 and 7192, than apply into the LCM equation.
GCF(7188,7192) = 4
LCM(7188,7192) = ( 7188 × 7192) / 4
LCM(7188,7192) = 51696096 / 4
LCM(7188,7192) = 12924024
(i) The LCM of 7192 and 7188 is associative
LCM of 7188 and 7192 = LCM of 7192 and 7188
1. What is the LCM of 7188 and 7192?
Answer: LCM of 7188 and 7192 is 12924024.
2. What are the Factors of 7188?
Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.
3. What are the Factors of 7192?
Answer: Factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192. There are 16 integers that are factors of 7192. The greatest factor of 7192 is 7192.
4. How to Find the LCM of 7188 and 7192?
Answer:
Least Common Multiple of 7188 and 7192 = 12924024
Step 1: Find the prime factorization of 7188
7188 = 2 x 2 x 3 x 599
Step 2: Find the prime factorization of 7192
7192 = 2 x 2 x 2 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12924024 = 2 x 2 x 2 x 3 x 29 x 31 x 599
Step 4: Therefore, the least common multiple of 7188 and 7192 is 12924024.