Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6203 and 6211 the smallest integer that is 38526833 that is divisible by both numbers.
Least Common Multiple (LCM) of 6203 and 6211 is 38526833.
LCM(6203,6211) = 38526833
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 6203 and 6211. First we will calculate the prime factors of 6203 and 6211.
Prime Factorization of 6203
6203 | 6203 |
1 |
Prime factors of 6203 are 6203. Prime factorization of 6203 in exponential form is:
6203 = 62031
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 6203 and 6211.
LCM(6203,6211) = 62031×62111
LCM(6203,6211) = 38526833
Factors of 6203
List of positive integer factors of 6203 that divides 6203 without a remainder.
1, 6203
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 6203 and 6211, than apply into the LCM equation.
GCF(6203,6211) = 1
LCM(6203,6211) = ( 6203 × 6211) / 1
LCM(6203,6211) = 38526833 / 1
LCM(6203,6211) = 38526833
(i) The LCM of 6211 and 6203 is associative
LCM of 6203 and 6211 = LCM of 6211 and 6203
1. What is the LCM of 6203 and 6211?
Answer: LCM of 6203 and 6211 is 38526833.
2. What are the Factors of 6203?
Answer: Factors of 6203 are 1, 6203. There are 2 integers that are factors of 6203. The greatest factor of 6203 is 6203.
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 6203 and 6211?
Answer:
Least Common Multiple of 6203 and 6211 = 38526833
Step 1: Find the prime factorization of 6203
6203 = 6203
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 = 38526833 = 6203 x 6211
Step 4: Therefore, the least common multiple of 6203 and 6211 is 38526833.