Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15194 and 15201 the smallest integer that is 230963994 that is divisible by both numbers.
Least Common Multiple (LCM) of 15194 and 15201 is 230963994.
LCM(15194,15201) = 230963994
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 15194 and 15201. First we will calculate the prime factors of 15194 and 15201.
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
Prime Factorization of 15201
3 | 15201 |
3 | 5067 |
3 | 1689 |
563 | 563 |
1 |
Prime factors of 15201 are 3,563. Prime factorization of 15201 in exponential form is:
15201 = 33×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 15194 and 15201.
LCM(15194,15201) = 21×33×711×1071×5631
LCM(15194,15201) = 230963994
Factors of 15194
List of positive integer factors of 15194 that divides 15194 without a remainder.
1, 2, 71, 107, 142, 214, 7597, 15194
Factors of 15201
List of positive integer factors of 15201 that divides 15201 without a remainder.
1, 3, 9, 27, 563, 1689, 5067, 15201
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15194 and 15201, than apply into the LCM equation.
GCF(15194,15201) = 1
LCM(15194,15201) = ( 15194 × 15201) / 1
LCM(15194,15201) = 230963994 / 1
LCM(15194,15201) = 230963994
(i) The LCM of 15201 and 15194 is associative
LCM of 15194 and 15201 = LCM of 15201 and 15194
1. What is the LCM of 15194 and 15201?
Answer: LCM of 15194 and 15201 is 230963994.
2. 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.
3. What are the Factors of 15201?
Answer: Factors of 15201 are 1, 3, 9, 27, 563, 1689, 5067, 15201. There are 8 integers that are factors of 15201. The greatest factor of 15201 is 15201.
4. How to Find the LCM of 15194 and 15201?
Answer:
Least Common Multiple of 15194 and 15201 = 230963994
Step 1: Find the prime factorization of 15194
15194 = 2 x 71 x 107
Step 2: Find the prime factorization of 15201
15201 = 3 x 3 x 3 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230963994 = 2 x 3 x 3 x 3 x 71 x 107 x 563
Step 4: Therefore, the least common multiple of 15194 and 15201 is 230963994.