Least Common Multiple of 4199 and 4207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4199 and 4207 the smallest integer that is 17665193 that is divisible by both numbers.
Least Common Multiple (LCM) of 4199 and 4207 is 17665193.
LCM(4199,4207) = 17665193
LCM of 4199 and 4207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4199 and 4207 by Prime method
- Least Common Multiple of 4199 and 4207 with GCF Formula
LCM of 4199 and 4207 is 17665193
Least common multiple can be found by multiplying the highest exponent prime factors of 4199 and 4207. First we will calculate the prime factors of 4199 and 4207.
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
Prime Factorization of 4207
| 7 | 4207 |
| 601 | 601 |
| 1 |
Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:
4207 = 71×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 4199 and 4207.
LCM(4199,4207) = 71×131×171×191×6011
LCM(4199,4207) = 17665193
Factors of 4199
List of positive integer factors of 4199 that divides 4199 without a remainder.
1, 13, 17, 19, 221, 247, 323, 4199
Factors of 4207
List of positive integer factors of 4207 that divides 4207 without a remainder.
1, 7, 601, 4207
Least Common Multiple of 4199 and 4207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4199 and 4207, than apply into the LCM equation.
GCF(4199,4207) = 1
LCM(4199,4207) = ( 4199 × 4207) / 1
LCM(4199,4207) = 17665193 / 1
LCM(4199,4207) = 17665193
Properties of LCM 4199 and 4207
(i) The LCM of 4207 and 4199 is associative
LCM of 4199 and 4207 = LCM of 4207 and 4199
Related Least Common Multiples of 4199
Related Least Common Multiples of 4207
Frequently Asked Questions on LCM of 4199 and 4207
1. What is the LCM of 4199 and 4207?
Answer: LCM of 4199 and 4207 is 17665193.
2. 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.
3. What are the Factors of 4207?
Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.
4. How to Find the LCM of 4199 and 4207?
Answer:
Least Common Multiple of 4199 and 4207 = 17665193
Step 1: Find the prime factorization of 4199
4199 = 13 x 17 x 19
Step 2: Find the prime factorization of 4207
4207 = 7 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17665193 = 7 x 13 x 17 x 19 x 601
Step 4: Therefore, the least common multiple of 4199 and 4207 is 17665193.