Least Common Multiple of 4218 and 4219
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4218 and 4219 the smallest integer that is 17795742 that is divisible by both numbers.
Least Common Multiple (LCM) of 4218 and 4219 is 17795742.
LCM(4218,4219) = 17795742
LCM of 4218 and 4219
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4218 and 4219 by Prime method
- Least Common Multiple of 4218 and 4219 with GCF Formula
LCM of 4218 and 4219 is 17795742
Least common multiple can be found by multiplying the highest exponent prime factors of 4218 and 4219. First we will calculate the prime factors of 4218 and 4219.
Prime Factorization of 4218
| 2 | 4218 |
| 3 | 2109 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 4218 are 2, 3, 19,37. Prime factorization of 4218 in exponential form is:
4218 = 21×31×191×371
Prime Factorization of 4219
| 4219 | 4219 |
| 1 |
Prime factors of 4219 are 4219. Prime factorization of 4219 in exponential form is:
4219 = 42191
Now multiplying the highest exponent prime factors to calculate the LCM of 4218 and 4219.
LCM(4218,4219) = 21×31×191×371×42191
LCM(4218,4219) = 17795742
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
Factors of 4219
List of positive integer factors of 4219 that divides 4219 without a remainder.
1, 4219
Least Common Multiple of 4218 and 4219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4218 and 4219, than apply into the LCM equation.
GCF(4218,4219) = 1
LCM(4218,4219) = ( 4218 × 4219) / 1
LCM(4218,4219) = 17795742 / 1
LCM(4218,4219) = 17795742
Properties of LCM 4218 and 4219
(i) The LCM of 4219 and 4218 is associative
LCM of 4218 and 4219 = LCM of 4219 and 4218
Related Least Common Multiples of 4218
Related Least Common Multiples of 4219
Frequently Asked Questions on LCM of 4218 and 4219
1. What is the LCM of 4218 and 4219?
Answer: LCM of 4218 and 4219 is 17795742.
2. What are the Factors of 4218?
Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.
3. What are the Factors of 4219?
Answer: Factors of 4219 are 1, 4219. There are 2 integers that are factors of 4219. The greatest factor of 4219 is 4219.
4. How to Find the LCM of 4218 and 4219?
Answer:
Least Common Multiple of 4218 and 4219 = 17795742
Step 1: Find the prime factorization of 4218
4218 = 2 x 3 x 19 x 37
Step 2: Find the prime factorization of 4219
4219 = 4219
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17795742 = 2 x 3 x 19 x 37 x 4219
Step 4: Therefore, the least common multiple of 4218 and 4219 is 17795742.