Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6211 and 6215 the smallest integer that is 38601365 that is divisible by both numbers.
Least Common Multiple (LCM) of 6211 and 6215 is 38601365.
LCM(6211,6215) = 38601365
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 6211 and 6215. First we will calculate the prime factors of 6211 and 6215.
Prime Factorization of 6211
6211 | 6211 |
1 |
Prime factors of 6211 are 6211. Prime factorization of 6211 in exponential form is:
6211 = 62111
Prime Factorization of 6215
5 | 6215 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 6215 are 5, 11,113. Prime factorization of 6215 in exponential form is:
6215 = 51×111×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 6211 and 6215.
LCM(6211,6215) = 51×111×1131×62111
LCM(6211,6215) = 38601365
Factors of 6211
List of positive integer factors of 6211 that divides 6211 without a remainder.
1, 6211
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1, 5, 11, 55, 113, 565, 1243, 6215
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6211 and 6215, than apply into the LCM equation.
GCF(6211,6215) = 1
LCM(6211,6215) = ( 6211 × 6215) / 1
LCM(6211,6215) = 38601365 / 1
LCM(6211,6215) = 38601365
(i) The LCM of 6215 and 6211 is associative
LCM of 6211 and 6215 = LCM of 6215 and 6211
1. What is the LCM of 6211 and 6215?
Answer: LCM of 6211 and 6215 is 38601365.
2. 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.
3. What are the Factors of 6215?
Answer: Factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215. There are 8 integers that are factors of 6215. The greatest factor of 6215 is 6215.
4. How to Find the LCM of 6211 and 6215?
Answer:
Least Common Multiple of 6211 and 6215 = 38601365
Step 1: Find the prime factorization of 6211
6211 = 6211
Step 2: Find the prime factorization of 6215
6215 = 5 x 11 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38601365 = 5 x 11 x 113 x 6211
Step 4: Therefore, the least common multiple of 6211 and 6215 is 38601365.