Least Common Multiple of 4193 and 4199
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4193 and 4199 the smallest integer that is 17606407 that is divisible by both numbers.
Least Common Multiple (LCM) of 4193 and 4199 is 17606407.
LCM(4193,4199) = 17606407
LCM of 4193 and 4199
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4193 and 4199 by Prime method
- Least Common Multiple of 4193 and 4199 with GCF Formula
LCM of 4193 and 4199 is 17606407
Least common multiple can be found by multiplying the highest exponent prime factors of 4193 and 4199. First we will calculate the prime factors of 4193 and 4199.
Prime Factorization of 4193
| 7 | 4193 |
| 599 | 599 |
| 1 |
Prime factors of 4193 are 7,599. Prime factorization of 4193 in exponential form is:
4193 = 71×5991
Prime Factorization of 4199
| 13 | 4199 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 4199 are 13, 17,19. Prime factorization of 4199 in exponential form is:
4199 = 131×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4193 and 4199.
LCM(4193,4199) = 71×131×171×191×5991
LCM(4193,4199) = 17606407
Factors of 4193
List of positive integer factors of 4193 that divides 4193 without a remainder.
1, 7, 599, 4193
Factors of 4199
List of positive integer factors of 4199 that divides 4199 without a remainder.
1, 13, 17, 19, 221, 247, 323, 4199
Least Common Multiple of 4193 and 4199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4193 and 4199, than apply into the LCM equation.
GCF(4193,4199) = 1
LCM(4193,4199) = ( 4193 × 4199) / 1
LCM(4193,4199) = 17606407 / 1
LCM(4193,4199) = 17606407
Properties of LCM 4193 and 4199
(i) The LCM of 4199 and 4193 is associative
LCM of 4193 and 4199 = LCM of 4199 and 4193
Related Least Common Multiples of 4193
Related Least Common Multiples of 4199
Frequently Asked Questions on LCM of 4193 and 4199
1. What is the LCM of 4193 and 4199?
Answer: LCM of 4193 and 4199 is 17606407.
2. What are the Factors of 4193?
Answer: Factors of 4193 are 1, 7, 599, 4193. There are 4 integers that are factors of 4193. The greatest factor of 4193 is 4193.
3. What are the Factors of 4199?
Answer: Factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199. There are 8 integers that are factors of 4199. The greatest factor of 4199 is 4199.
4. How to Find the LCM of 4193 and 4199?
Answer:
Least Common Multiple of 4193 and 4199 = 17606407
Step 1: Find the prime factorization of 4193
4193 = 7 x 599
Step 2: Find the prime factorization of 4199
4199 = 13 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17606407 = 7 x 13 x 17 x 19 x 599
Step 4: Therefore, the least common multiple of 4193 and 4199 is 17606407.