Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6215 and 6219 the smallest integer that is 38651085 that is divisible by both numbers.
Least Common Multiple (LCM) of 6215 and 6219 is 38651085.
LCM(6215,6219) = 38651085
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 6215 and 6219. First we will calculate the prime factors of 6215 and 6219.
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
Prime Factorization of 6219
3 | 6219 |
3 | 2073 |
691 | 691 |
1 |
Prime factors of 6219 are 3,691. Prime factorization of 6219 in exponential form is:
6219 = 32×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 6215 and 6219.
LCM(6215,6219) = 32×51×111×1131×6911
LCM(6215,6219) = 38651085
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1, 5, 11, 55, 113, 565, 1243, 6215
Factors of 6219
List of positive integer factors of 6219 that divides 6219 without a remainder.
1, 3, 9, 691, 2073, 6219
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6215 and 6219, than apply into the LCM equation.
GCF(6215,6219) = 1
LCM(6215,6219) = ( 6215 × 6219) / 1
LCM(6215,6219) = 38651085 / 1
LCM(6215,6219) = 38651085
(i) The LCM of 6219 and 6215 is associative
LCM of 6215 and 6219 = LCM of 6219 and 6215
1. What is the LCM of 6215 and 6219?
Answer: LCM of 6215 and 6219 is 38651085.
2. 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.
3. What are the Factors of 6219?
Answer: Factors of 6219 are 1, 3, 9, 691, 2073, 6219. There are 6 integers that are factors of 6219. The greatest factor of 6219 is 6219.
4. How to Find the LCM of 6215 and 6219?
Answer:
Least Common Multiple of 6215 and 6219 = 38651085
Step 1: Find the prime factorization of 6215
6215 = 5 x 11 x 113
Step 2: Find the prime factorization of 6219
6219 = 3 x 3 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38651085 = 3 x 3 x 5 x 11 x 113 x 691
Step 4: Therefore, the least common multiple of 6215 and 6219 is 38651085.