Least Common Multiple of 6205 and 6209
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6205 and 6209 the smallest integer that is 38526845 that is divisible by both numbers.
Least Common Multiple (LCM) of 6205 and 6209 is 38526845.
LCM(6205,6209) = 38526845
LCM of 6205 and 6209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6205 and 6209 by Prime method
- Least Common Multiple of 6205 and 6209 with GCF Formula
LCM of 6205 and 6209 is 38526845
Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6209. First we will calculate the prime factors of 6205 and 6209.
Prime Factorization of 6205
| 5 | 6205 |
| 17 | 1241 |
| 73 | 73 |
| 1 |
Prime factors of 6205 are 5, 17,73. Prime factorization of 6205 in exponential form is:
6205 = 51×171×731
Prime Factorization of 6209
| 7 | 6209 |
| 887 | 887 |
| 1 |
Prime factors of 6209 are 7,887. Prime factorization of 6209 in exponential form is:
6209 = 71×8871
Now multiplying the highest exponent prime factors to calculate the LCM of 6205 and 6209.
LCM(6205,6209) = 51×71×171×731×8871
LCM(6205,6209) = 38526845
Factors of 6205
List of positive integer factors of 6205 that divides 6205 without a remainder.
1, 5, 17, 73, 85, 365, 1241, 6205
Factors of 6209
List of positive integer factors of 6209 that divides 6209 without a remainder.
1, 7, 887, 6209
Least Common Multiple of 6205 and 6209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6205 and 6209, than apply into the LCM equation.
GCF(6205,6209) = 1
LCM(6205,6209) = ( 6205 × 6209) / 1
LCM(6205,6209) = 38526845 / 1
LCM(6205,6209) = 38526845
Properties of LCM 6205 and 6209
(i) The LCM of 6209 and 6205 is associative
LCM of 6205 and 6209 = LCM of 6209 and 6205
Related Least Common Multiples of 6205
Related Least Common Multiples of 6209
Frequently Asked Questions on LCM of 6205 and 6209
1. What is the LCM of 6205 and 6209?
Answer: LCM of 6205 and 6209 is 38526845.
2. What are the Factors of 6205?
Answer: Factors of 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205. There are 8 integers that are factors of 6205. The greatest factor of 6205 is 6205.
3. What are the Factors of 6209?
Answer: Factors of 6209 are 1, 7, 887, 6209. There are 4 integers that are factors of 6209. The greatest factor of 6209 is 6209.
4. How to Find the LCM of 6205 and 6209?
Answer:
Least Common Multiple of 6205 and 6209 = 38526845
Step 1: Find the prime factorization of 6205
6205 = 5 x 17 x 73
Step 2: Find the prime factorization of 6209
6209 = 7 x 887
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38526845 = 5 x 7 x 17 x 73 x 887
Step 4: Therefore, the least common multiple of 6205 and 6209 is 38526845.