Least Common Multiple of 13193 and 13198
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13193 and 13198 the smallest integer that is 174121214 that is divisible by both numbers.
Least Common Multiple (LCM) of 13193 and 13198 is 174121214.
LCM(13193,13198) = 174121214
LCM of 13193 and 13198
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13193 and 13198 by Prime method
- Least Common Multiple of 13193 and 13198 with GCF Formula
LCM of 13193 and 13198 is 174121214
Least common multiple can be found by multiplying the highest exponent prime factors of 13193 and 13198. First we will calculate the prime factors of 13193 and 13198.
Prime Factorization of 13193
| 79 | 13193 |
| 167 | 167 |
| 1 |
Prime factors of 13193 are 79,167. Prime factorization of 13193 in exponential form is:
13193 = 791×1671
Prime Factorization of 13198
| 2 | 13198 |
| 6599 | 6599 |
| 1 |
Prime factors of 13198 are 2,6599. Prime factorization of 13198 in exponential form is:
13198 = 21×65991
Now multiplying the highest exponent prime factors to calculate the LCM of 13193 and 13198.
LCM(13193,13198) = 21×791×1671×65991
LCM(13193,13198) = 174121214
Factors of 13193
List of positive integer factors of 13193 that divides 13193 without a remainder.
1, 79, 167, 13193
Factors of 13198
List of positive integer factors of 13198 that divides 13198 without a remainder.
1, 2, 6599, 13198
Least Common Multiple of 13193 and 13198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13193 and 13198, than apply into the LCM equation.
GCF(13193,13198) = 1
LCM(13193,13198) = ( 13193 × 13198) / 1
LCM(13193,13198) = 174121214 / 1
LCM(13193,13198) = 174121214
Properties of LCM 13193 and 13198
(i) The LCM of 13198 and 13193 is associative
LCM of 13193 and 13198 = LCM of 13198 and 13193
Related Least Common Multiples of 13193
Related Least Common Multiples of 13198
Frequently Asked Questions on LCM of 13193 and 13198
1. What is the LCM of 13193 and 13198?
Answer: LCM of 13193 and 13198 is 174121214.
2. What are the Factors of 13193?
Answer: Factors of 13193 are 1, 79, 167, 13193. There are 4 integers that are factors of 13193. The greatest factor of 13193 is 13193.
3. What are the Factors of 13198?
Answer: Factors of 13198 are 1, 2, 6599, 13198. There are 4 integers that are factors of 13198. The greatest factor of 13198 is 13198.
4. How to Find the LCM of 13193 and 13198?
Answer:
Least Common Multiple of 13193 and 13198 = 174121214
Step 1: Find the prime factorization of 13193
13193 = 79 x 167
Step 2: Find the prime factorization of 13198
13198 = 2 x 6599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 174121214 = 2 x 79 x 167 x 6599
Step 4: Therefore, the least common multiple of 13193 and 13198 is 174121214.