Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6219 and 6224 the smallest integer that is 38707056 that is divisible by both numbers.
Least Common Multiple (LCM) of 6219 and 6224 is 38707056.
LCM(6219,6224) = 38707056
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 6219 and 6224. First we will calculate the prime factors of 6219 and 6224.
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
Prime Factorization of 6224
2 | 6224 |
2 | 3112 |
2 | 1556 |
2 | 778 |
389 | 389 |
1 |
Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:
6224 = 24×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 6219 and 6224.
LCM(6219,6224) = 24×32×3891×6911
LCM(6219,6224) = 38707056
Factors of 6219
List of positive integer factors of 6219 that divides 6219 without a remainder.
1, 3, 9, 691, 2073, 6219
Factors of 6224
List of positive integer factors of 6224 that divides 6224 without a remainder.
1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6219 and 6224, than apply into the LCM equation.
GCF(6219,6224) = 1
LCM(6219,6224) = ( 6219 × 6224) / 1
LCM(6219,6224) = 38707056 / 1
LCM(6219,6224) = 38707056
(i) The LCM of 6224 and 6219 is associative
LCM of 6219 and 6224 = LCM of 6224 and 6219
1. What is the LCM of 6219 and 6224?
Answer: LCM of 6219 and 6224 is 38707056.
2. 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.
3. What are the Factors of 6224?
Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.
4. How to Find the LCM of 6219 and 6224?
Answer:
Least Common Multiple of 6219 and 6224 = 38707056
Step 1: Find the prime factorization of 6219
6219 = 3 x 3 x 691
Step 2: Find the prime factorization of 6224
6224 = 2 x 2 x 2 x 2 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38707056 = 2 x 2 x 2 x 2 x 3 x 3 x 389 x 691
Step 4: Therefore, the least common multiple of 6219 and 6224 is 38707056.