Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16211 and 16219 the smallest integer that is 262926209 that is divisible by both numbers.
Least Common Multiple (LCM) of 16211 and 16219 is 262926209.
LCM(16211,16219) = 262926209
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 16211 and 16219. First we will calculate the prime factors of 16211 and 16219.
Prime Factorization of 16211
13 | 16211 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 16211 are 13, 29,43. Prime factorization of 16211 in exponential form is:
16211 = 131×291×431
Prime Factorization of 16219
7 | 16219 |
7 | 2317 |
331 | 331 |
1 |
Prime factors of 16219 are 7,331. Prime factorization of 16219 in exponential form is:
16219 = 72×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 16211 and 16219.
LCM(16211,16219) = 72×131×291×431×3311
LCM(16211,16219) = 262926209
Factors of 16211
List of positive integer factors of 16211 that divides 16211 without a remainder.
1, 13, 29, 43, 377, 559, 1247, 16211
Factors of 16219
List of positive integer factors of 16219 that divides 16219 without a remainder.
1, 7, 49, 331, 2317, 16219
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16211 and 16219, than apply into the LCM equation.
GCF(16211,16219) = 1
LCM(16211,16219) = ( 16211 × 16219) / 1
LCM(16211,16219) = 262926209 / 1
LCM(16211,16219) = 262926209
(i) The LCM of 16219 and 16211 is associative
LCM of 16211 and 16219 = LCM of 16219 and 16211
1. What is the LCM of 16211 and 16219?
Answer: LCM of 16211 and 16219 is 262926209.
2. What are the Factors of 16211?
Answer: Factors of 16211 are 1, 13, 29, 43, 377, 559, 1247, 16211. There are 8 integers that are factors of 16211. The greatest factor of 16211 is 16211.
3. What are the Factors of 16219?
Answer: Factors of 16219 are 1, 7, 49, 331, 2317, 16219. There are 6 integers that are factors of 16219. The greatest factor of 16219 is 16219.
4. How to Find the LCM of 16211 and 16219?
Answer:
Least Common Multiple of 16211 and 16219 = 262926209
Step 1: Find the prime factorization of 16211
16211 = 13 x 29 x 43
Step 2: Find the prime factorization of 16219
16219 = 7 x 7 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 262926209 = 7 x 7 x 13 x 29 x 43 x 331
Step 4: Therefore, the least common multiple of 16211 and 16219 is 262926209.