Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6199 and 6207 the smallest integer that is 38477193 that is divisible by both numbers.
Least Common Multiple (LCM) of 6199 and 6207 is 38477193.
LCM(6199,6207) = 38477193
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 6199 and 6207. First we will calculate the prime factors of 6199 and 6207.
Prime Factorization of 6199
6199 | 6199 |
1 |
Prime factors of 6199 are 6199. Prime factorization of 6199 in exponential form is:
6199 = 61991
Prime Factorization of 6207
3 | 6207 |
2069 | 2069 |
1 |
Prime factors of 6207 are 3,2069. Prime factorization of 6207 in exponential form is:
6207 = 31×20691
Now multiplying the highest exponent prime factors to calculate the LCM of 6199 and 6207.
LCM(6199,6207) = 31×20691×61991
LCM(6199,6207) = 38477193
Factors of 6199
List of positive integer factors of 6199 that divides 6199 without a remainder.
1, 6199
Factors of 6207
List of positive integer factors of 6207 that divides 6207 without a remainder.
1, 3, 2069, 6207
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6199 and 6207, than apply into the LCM equation.
GCF(6199,6207) = 1
LCM(6199,6207) = ( 6199 × 6207) / 1
LCM(6199,6207) = 38477193 / 1
LCM(6199,6207) = 38477193
(i) The LCM of 6207 and 6199 is associative
LCM of 6199 and 6207 = LCM of 6207 and 6199
1. What is the LCM of 6199 and 6207?
Answer: LCM of 6199 and 6207 is 38477193.
2. What are the Factors of 6199?
Answer: Factors of 6199 are 1, 6199. There are 2 integers that are factors of 6199. The greatest factor of 6199 is 6199.
3. What are the Factors of 6207?
Answer: Factors of 6207 are 1, 3, 2069, 6207. There are 4 integers that are factors of 6207. The greatest factor of 6207 is 6207.
4. How to Find the LCM of 6199 and 6207?
Answer:
Least Common Multiple of 6199 and 6207 = 38477193
Step 1: Find the prime factorization of 6199
6199 = 6199
Step 2: Find the prime factorization of 6207
6207 = 3 x 2069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38477193 = 3 x 2069 x 6199
Step 4: Therefore, the least common multiple of 6199 and 6207 is 38477193.