Least Common Multiple of 6206 and 6207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6206 and 6207 the smallest integer that is 38520642 that is divisible by both numbers.
Least Common Multiple (LCM) of 6206 and 6207 is 38520642.
LCM(6206,6207) = 38520642
LCM of 6206 and 6207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6206 and 6207 by Prime method
- Least Common Multiple of 6206 and 6207 with GCF Formula
LCM of 6206 and 6207 is 38520642
Least common multiple can be found by multiplying the highest exponent prime factors of 6206 and 6207. First we will calculate the prime factors of 6206 and 6207.
Prime Factorization of 6206
| 2 | 6206 |
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 6206 are 2, 29,107. Prime factorization of 6206 in exponential form is:
6206 = 21×291×1071
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 6206 and 6207.
LCM(6206,6207) = 21×31×291×1071×20691
LCM(6206,6207) = 38520642
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1, 2, 29, 58, 107, 214, 3103, 6206
Factors of 6207
List of positive integer factors of 6207 that divides 6207 without a remainder.
1, 3, 2069, 6207
Least Common Multiple of 6206 and 6207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6206 and 6207, than apply into the LCM equation.
GCF(6206,6207) = 1
LCM(6206,6207) = ( 6206 × 6207) / 1
LCM(6206,6207) = 38520642 / 1
LCM(6206,6207) = 38520642
Properties of LCM 6206 and 6207
(i) The LCM of 6207 and 6206 is associative
LCM of 6206 and 6207 = LCM of 6207 and 6206
Related Least Common Multiples of 6206
Related Least Common Multiples of 6207
Frequently Asked Questions on LCM of 6206 and 6207
1. What is the LCM of 6206 and 6207?
Answer: LCM of 6206 and 6207 is 38520642.
2. What are the Factors of 6206?
Answer: Factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206. There are 8 integers that are factors of 6206. The greatest factor of 6206 is 6206.
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 6206 and 6207?
Answer:
Least Common Multiple of 6206 and 6207 = 38520642
Step 1: Find the prime factorization of 6206
6206 = 2 x 29 x 107
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 = 38520642 = 2 x 3 x 29 x 107 x 2069
Step 4: Therefore, the least common multiple of 6206 and 6207 is 38520642.