Least Common Multiple of 6199 and 6204
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 6204 the smallest integer that is 38458596 that is divisible by both numbers.
Least Common Multiple (LCM) of 6199 and 6204 is 38458596.
LCM(6199,6204) = 38458596
LCM of 6199 and 6204
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6199 and 6204 by Prime method
- Least Common Multiple of 6199 and 6204 with GCF Formula
LCM of 6199 and 6204 is 38458596
Least common multiple can be found by multiplying the highest exponent prime factors of 6199 and 6204. First we will calculate the prime factors of 6199 and 6204.
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 6204
| 2 | 6204 |
| 2 | 3102 |
| 3 | 1551 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 6204 are 2, 3, 11,47. Prime factorization of 6204 in exponential form is:
6204 = 22×31×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6199 and 6204.
LCM(6199,6204) = 22×31×111×471×61991
LCM(6199,6204) = 38458596
Factors of 6199
List of positive integer factors of 6199 that divides 6199 without a remainder.
1, 6199
Factors of 6204
List of positive integer factors of 6204 that divides 6204 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
Least Common Multiple of 6199 and 6204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6199 and 6204, than apply into the LCM equation.
GCF(6199,6204) = 1
LCM(6199,6204) = ( 6199 × 6204) / 1
LCM(6199,6204) = 38458596 / 1
LCM(6199,6204) = 38458596
Properties of LCM 6199 and 6204
(i) The LCM of 6204 and 6199 is associative
LCM of 6199 and 6204 = LCM of 6204 and 6199
Related Least Common Multiples of 6199
Related Least Common Multiples of 6204
Frequently Asked Questions on LCM of 6199 and 6204
1. What is the LCM of 6199 and 6204?
Answer: LCM of 6199 and 6204 is 38458596.
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 6204?
Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.
4. How to Find the LCM of 6199 and 6204?
Answer:
Least Common Multiple of 6199 and 6204 = 38458596
Step 1: Find the prime factorization of 6199
6199 = 6199
Step 2: Find the prime factorization of 6204
6204 = 2 x 2 x 3 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38458596 = 2 x 2 x 3 x 11 x 47 x 6199
Step 4: Therefore, the least common multiple of 6199 and 6204 is 38458596.