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 15194 the smallest integer that is 115383236 that is divisible by both numbers.
Least Common Multiple (LCM) of 15188 and 15194 is 115383236.
LCM(15188,15194) = 115383236
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 15194. First we will calculate the prime factors of 15188 and 15194.
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 15194
2 | 15194 |
71 | 7597 |
107 | 107 |
1 |
Prime factors of 15194 are 2, 71,107. Prime factorization of 15194 in exponential form is:
15194 = 21×711×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 15188 and 15194.
LCM(15188,15194) = 22×711×1071×37971
LCM(15188,15194) = 115383236
Factors of 15188
List of positive integer factors of 15188 that divides 15188 without a remainder.
1, 2, 4, 3797, 7594, 15188
Factors of 15194
List of positive integer factors of 15194 that divides 15194 without a remainder.
1, 2, 71, 107, 142, 214, 7597, 15194
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15188 and 15194, than apply into the LCM equation.
GCF(15188,15194) = 2
LCM(15188,15194) = ( 15188 × 15194) / 2
LCM(15188,15194) = 230766472 / 2
LCM(15188,15194) = 115383236
(i) The LCM of 15194 and 15188 is associative
LCM of 15188 and 15194 = LCM of 15194 and 15188
1. What is the LCM of 15188 and 15194?
Answer: LCM of 15188 and 15194 is 115383236.
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 15194?
Answer: Factors of 15194 are 1, 2, 71, 107, 142, 214, 7597, 15194. There are 8 integers that are factors of 15194. The greatest factor of 15194 is 15194.
4. How to Find the LCM of 15188 and 15194?
Answer:
Least Common Multiple of 15188 and 15194 = 115383236
Step 1: Find the prime factorization of 15188
15188 = 2 x 2 x 3797
Step 2: Find the prime factorization of 15194
15194 = 2 x 71 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 115383236 = 2 x 2 x 71 x 107 x 3797
Step 4: Therefore, the least common multiple of 15188 and 15194 is 115383236.