Least Common Multiple of 15193 and 15197
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15193 and 15197 the smallest integer that is 230888021 that is divisible by both numbers.
Least Common Multiple (LCM) of 15193 and 15197 is 230888021.
LCM(15193,15197) = 230888021
LCM of 15193 and 15197
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15193 and 15197 by Prime method
- Least Common Multiple of 15193 and 15197 with GCF Formula
LCM of 15193 and 15197 is 230888021
Least common multiple can be found by multiplying the highest exponent prime factors of 15193 and 15197. First we will calculate the prime factors of 15193 and 15197.
Prime Factorization of 15193
| 15193 | 15193 |
| 1 |
Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:
15193 = 151931
Prime Factorization of 15197
| 7 | 15197 |
| 13 | 2171 |
| 167 | 167 |
| 1 |
Prime factors of 15197 are 7, 13,167. Prime factorization of 15197 in exponential form is:
15197 = 71×131×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 15193 and 15197.
LCM(15193,15197) = 71×131×1671×151931
LCM(15193,15197) = 230888021
Factors of 15193
List of positive integer factors of 15193 that divides 15193 without a remainder.
1, 15193
Factors of 15197
List of positive integer factors of 15197 that divides 15197 without a remainder.
1, 7, 13, 91, 167, 1169, 2171, 15197
Least Common Multiple of 15193 and 15197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15193 and 15197, than apply into the LCM equation.
GCF(15193,15197) = 1
LCM(15193,15197) = ( 15193 × 15197) / 1
LCM(15193,15197) = 230888021 / 1
LCM(15193,15197) = 230888021
Properties of LCM 15193 and 15197
(i) The LCM of 15197 and 15193 is associative
LCM of 15193 and 15197 = LCM of 15197 and 15193
Related Least Common Multiples of 15193
Related Least Common Multiples of 15197
Frequently Asked Questions on LCM of 15193 and 15197
1. What is the LCM of 15193 and 15197?
Answer: LCM of 15193 and 15197 is 230888021.
2. 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.
3. What are the Factors of 15197?
Answer: Factors of 15197 are 1, 7, 13, 91, 167, 1169, 2171, 15197. There are 8 integers that are factors of 15197. The greatest factor of 15197 is 15197.
4. How to Find the LCM of 15193 and 15197?
Answer:
Least Common Multiple of 15193 and 15197 = 230888021
Step 1: Find the prime factorization of 15193
15193 = 15193
Step 2: Find the prime factorization of 15197
15197 = 7 x 13 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 230888021 = 7 x 13 x 167 x 15193
Step 4: Therefore, the least common multiple of 15193 and 15197 is 230888021.