Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8213 and 8219 the smallest integer that is 67502647 that is divisible by both numbers.
Least Common Multiple (LCM) of 8213 and 8219 is 67502647.
LCM(8213,8219) = 67502647
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 8213 and 8219. First we will calculate the prime factors of 8213 and 8219.
Prime Factorization of 8213
43 | 8213 |
191 | 191 |
1 |
Prime factors of 8213 are 43,191. Prime factorization of 8213 in exponential form is:
8213 = 431×1911
Prime Factorization of 8219
8219 | 8219 |
1 |
Prime factors of 8219 are 8219. Prime factorization of 8219 in exponential form is:
8219 = 82191
Now multiplying the highest exponent prime factors to calculate the LCM of 8213 and 8219.
LCM(8213,8219) = 431×1911×82191
LCM(8213,8219) = 67502647
Factors of 8213
List of positive integer factors of 8213 that divides 8213 without a remainder.
1, 43, 191, 8213
Factors of 8219
List of positive integer factors of 8219 that divides 8219 without a remainder.
1, 8219
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8213 and 8219, than apply into the LCM equation.
GCF(8213,8219) = 1
LCM(8213,8219) = ( 8213 × 8219) / 1
LCM(8213,8219) = 67502647 / 1
LCM(8213,8219) = 67502647
(i) The LCM of 8219 and 8213 is associative
LCM of 8213 and 8219 = LCM of 8219 and 8213
1. What is the LCM of 8213 and 8219?
Answer: LCM of 8213 and 8219 is 67502647.
2. What are the Factors of 8213?
Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.
3. What are the Factors of 8219?
Answer: Factors of 8219 are 1, 8219. There are 2 integers that are factors of 8219. The greatest factor of 8219 is 8219.
4. How to Find the LCM of 8213 and 8219?
Answer:
Least Common Multiple of 8213 and 8219 = 67502647
Step 1: Find the prime factorization of 8213
8213 = 43 x 191
Step 2: Find the prime factorization of 8219
8219 = 8219
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67502647 = 43 x 191 x 8219
Step 4: Therefore, the least common multiple of 8213 and 8219 is 67502647.