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 6211 the smallest integer that is 38551677 that is divisible by both numbers.
Least Common Multiple (LCM) of 6207 and 6211 is 38551677.
LCM(6207,6211) = 38551677
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6207 and 6211. First we will calculate the prime factors of 6207 and 6211.
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 6211
6211 | 6211 |
1 |
Prime factors of 6211 are 6211. Prime factorization of 6211 in exponential form is:
6211 = 62111
Now multiplying the highest exponent prime factors to calculate the LCM of 6207 and 6211.
LCM(6207,6211) = 31×20691×62111
LCM(6207,6211) = 38551677
Factors of 6207
List of positive integer factors of 6207 that divides 6207 without a remainder.
1, 3, 2069, 6207
Factors of 6211
List of positive integer factors of 6211 that divides 6211 without a remainder.
1, 6211
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6207 and 6211, than apply into the LCM equation.
GCF(6207,6211) = 1
LCM(6207,6211) = ( 6207 × 6211) / 1
LCM(6207,6211) = 38551677 / 1
LCM(6207,6211) = 38551677
(i) The LCM of 6211 and 6207 is associative
LCM of 6207 and 6211 = LCM of 6211 and 6207
1. What is the LCM of 6207 and 6211?
Answer: LCM of 6207 and 6211 is 38551677.
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 6211?
Answer: Factors of 6211 are 1, 6211. There are 2 integers that are factors of 6211. The greatest factor of 6211 is 6211.
4. How to Find the LCM of 6207 and 6211?
Answer:
Least Common Multiple of 6207 and 6211 = 38551677
Step 1: Find the prime factorization of 6207
6207 = 3 x 2069
Step 2: Find the prime factorization of 6211
6211 = 6211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38551677 = 3 x 2069 x 6211
Step 4: Therefore, the least common multiple of 6207 and 6211 is 38551677.