Least Common Multiple of 6201 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 6201 and 6209 the smallest integer that is 38502009 that is divisible by both numbers.
Least Common Multiple (LCM) of 6201 and 6209 is 38502009.
LCM(6201,6209) = 38502009
LCM of 6201 and 6209
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6201 and 6209 by Prime method
- Least Common Multiple of 6201 and 6209 with GCF Formula
LCM of 6201 and 6209 is 38502009
Least common multiple can be found by multiplying the highest exponent prime factors of 6201 and 6209. First we will calculate the prime factors of 6201 and 6209.
Prime Factorization of 6201
| 3 | 6201 |
| 3 | 2067 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 6201 are 3, 13,53. Prime factorization of 6201 in exponential form is:
6201 = 32×131×531
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 6201 and 6209.
LCM(6201,6209) = 32×71×131×531×8871
LCM(6201,6209) = 38502009
Factors of 6201
List of positive integer factors of 6201 that divides 6201 without a remainder.
1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201
Factors of 6209
List of positive integer factors of 6209 that divides 6209 without a remainder.
1, 7, 887, 6209
Least Common Multiple of 6201 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 6201 and 6209, than apply into the LCM equation.
GCF(6201,6209) = 1
LCM(6201,6209) = ( 6201 × 6209) / 1
LCM(6201,6209) = 38502009 / 1
LCM(6201,6209) = 38502009
Properties of LCM 6201 and 6209
(i) The LCM of 6209 and 6201 is associative
LCM of 6201 and 6209 = LCM of 6209 and 6201
Related Least Common Multiples of 6201
Related Least Common Multiples of 6209
Frequently Asked Questions on LCM of 6201 and 6209
1. What is the LCM of 6201 and 6209?
Answer: LCM of 6201 and 6209 is 38502009.
2. What are the Factors of 6201?
Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.
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 6201 and 6209?
Answer:
Least Common Multiple of 6201 and 6209 = 38502009
Step 1: Find the prime factorization of 6201
6201 = 3 x 3 x 13 x 53
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 = 38502009 = 3 x 3 x 7 x 13 x 53 x 887
Step 4: Therefore, the least common multiple of 6201 and 6209 is 38502009.