Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15188 and 15192 the smallest integer that is 57684024 that is divisible by both numbers.
Least Common Multiple (LCM) of 15188 and 15192 is 57684024.
LCM(15188,15192) = 57684024
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 15188 and 15192. First we will calculate the prime factors of 15188 and 15192.
Prime Factorization of 15188
2 | 15188 |
2 | 7594 |
3797 | 3797 |
1 |
Prime factors of 15188 are 2,3797. Prime factorization of 15188 in exponential form is:
15188 = 22×37971
Prime Factorization of 15192
2 | 15192 |
2 | 7596 |
2 | 3798 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 15192 are 2, 3,211. Prime factorization of 15192 in exponential form is:
15192 = 23×32×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 15188 and 15192.
LCM(15188,15192) = 23×32×2111×37971
LCM(15188,15192) = 57684024
Factors of 15188
List of positive integer factors of 15188 that divides 15188 without a remainder.
1, 2, 4, 3797, 7594, 15188
Factors of 15192
List of positive integer factors of 15192 that divides 15192 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15188 and 15192, than apply into the LCM equation.
GCF(15188,15192) = 4
LCM(15188,15192) = ( 15188 × 15192) / 4
LCM(15188,15192) = 230736096 / 4
LCM(15188,15192) = 57684024
(i) The LCM of 15192 and 15188 is associative
LCM of 15188 and 15192 = LCM of 15192 and 15188
1. What is the LCM of 15188 and 15192?
Answer: LCM of 15188 and 15192 is 57684024.
2. What are the Factors of 15188?
Answer: Factors of 15188 are 1, 2, 4, 3797, 7594, 15188. There are 6 integers that are factors of 15188. The greatest factor of 15188 is 15188.
3. What are the Factors of 15192?
Answer: Factors of 15192 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 211, 422, 633, 844, 1266, 1688, 1899, 2532, 3798, 5064, 7596, 15192. There are 24 integers that are factors of 15192. The greatest factor of 15192 is 15192.
4. How to Find the LCM of 15188 and 15192?
Answer:
Least Common Multiple of 15188 and 15192 = 57684024
Step 1: Find the prime factorization of 15188
15188 = 2 x 2 x 3797
Step 2: Find the prime factorization of 15192
15192 = 2 x 2 x 2 x 3 x 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57684024 = 2 x 2 x 2 x 3 x 3 x 211 x 3797
Step 4: Therefore, the least common multiple of 15188 and 15192 is 57684024.