Least Common Multiple of 6207 and 6214
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6207 and 6214 the smallest integer that is 38570298 that is divisible by both numbers.
Least Common Multiple (LCM) of 6207 and 6214 is 38570298.
LCM(6207,6214) = 38570298
LCM of 6207 and 6214
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6207 and 6214 by Prime method
- Least Common Multiple of 6207 and 6214 with GCF Formula
LCM of 6207 and 6214 is 38570298
Least common multiple can be found by multiplying the highest exponent prime factors of 6207 and 6214. First we will calculate the prime factors of 6207 and 6214.
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
Prime Factorization of 6214
| 2 | 6214 |
| 13 | 3107 |
| 239 | 239 |
| 1 |
Prime factors of 6214 are 2, 13,239. Prime factorization of 6214 in exponential form is:
6214 = 21×131×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 6207 and 6214.
LCM(6207,6214) = 21×31×131×2391×20691
LCM(6207,6214) = 38570298
Factors of 6207
List of positive integer factors of 6207 that divides 6207 without a remainder.
1, 3, 2069, 6207
Factors of 6214
List of positive integer factors of 6214 that divides 6214 without a remainder.
1, 2, 13, 26, 239, 478, 3107, 6214
Least Common Multiple of 6207 and 6214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6207 and 6214, than apply into the LCM equation.
GCF(6207,6214) = 1
LCM(6207,6214) = ( 6207 × 6214) / 1
LCM(6207,6214) = 38570298 / 1
LCM(6207,6214) = 38570298
Properties of LCM 6207 and 6214
(i) The LCM of 6214 and 6207 is associative
LCM of 6207 and 6214 = LCM of 6214 and 6207
Related Least Common Multiples of 6207
Related Least Common Multiples of 6214
Frequently Asked Questions on LCM of 6207 and 6214
1. What is the LCM of 6207 and 6214?
Answer: LCM of 6207 and 6214 is 38570298.
2. 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.
3. What are the Factors of 6214?
Answer: Factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214. There are 8 integers that are factors of 6214. The greatest factor of 6214 is 6214.
4. How to Find the LCM of 6207 and 6214?
Answer:
Least Common Multiple of 6207 and 6214 = 38570298
Step 1: Find the prime factorization of 6207
6207 = 3 x 2069
Step 2: Find the prime factorization of 6214
6214 = 2 x 13 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38570298 = 2 x 3 x 13 x 239 x 2069
Step 4: Therefore, the least common multiple of 6207 and 6214 is 38570298.