Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15187 and 15193 the smallest integer that is 230736091 that is divisible by both numbers.
Least Common Multiple (LCM) of 15187 and 15193 is 230736091.
LCM(15187,15193) = 230736091
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 15187 and 15193. First we will calculate the prime factors of 15187 and 15193.
Prime Factorization of 15187
15187 | 15187 |
1 |
Prime factors of 15187 are 15187. Prime factorization of 15187 in exponential form is:
15187 = 151871
Prime Factorization of 15193
15193 | 15193 |
1 |
Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:
15193 = 151931
Now multiplying the highest exponent prime factors to calculate the LCM of 15187 and 15193.
LCM(15187,15193) = 151871×151931
LCM(15187,15193) = 230736091
Factors of 15187
List of positive integer factors of 15187 that divides 15187 without a remainder.
1, 15187
Factors of 15193
List of positive integer factors of 15193 that divides 15193 without a remainder.
1, 15193
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15187 and 15193, than apply into the LCM equation.
GCF(15187,15193) = 1
LCM(15187,15193) = ( 15187 × 15193) / 1
LCM(15187,15193) = 230736091 / 1
LCM(15187,15193) = 230736091
(i) The LCM of 15193 and 15187 is associative
LCM of 15187 and 15193 = LCM of 15193 and 15187
1. What is the LCM of 15187 and 15193?
Answer: LCM of 15187 and 15193 is 230736091.
2. What are the Factors of 15187?
Answer: Factors of 15187 are 1, 15187. There are 2 integers that are factors of 15187. The greatest factor of 15187 is 15187.
3. What are the Factors of 15193?
Answer: Factors of 15193 are 1, 15193. There are 2 integers that are factors of 15193. The greatest factor of 15193 is 15193.
4. How to Find the LCM of 15187 and 15193?
Answer:
Least Common Multiple of 15187 and 15193 = 230736091
Step 1: Find the prime factorization of 15187
15187 = 15187
Step 2: Find the prime factorization of 15193
15193 = 15193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230736091 = 15187 x 15193
Step 4: Therefore, the least common multiple of 15187 and 15193 is 230736091.