Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9213 and 9218 the smallest integer that is 84925434 that is divisible by both numbers.
Least Common Multiple (LCM) of 9213 and 9218 is 84925434.
LCM(9213,9218) = 84925434
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 9213 and 9218. First we will calculate the prime factors of 9213 and 9218.
Prime Factorization of 9213
3 | 9213 |
37 | 3071 |
83 | 83 |
1 |
Prime factors of 9213 are 3, 37,83. Prime factorization of 9213 in exponential form is:
9213 = 31×371×831
Prime Factorization of 9218
2 | 9218 |
11 | 4609 |
419 | 419 |
1 |
Prime factors of 9218 are 2, 11,419. Prime factorization of 9218 in exponential form is:
9218 = 21×111×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 9213 and 9218.
LCM(9213,9218) = 21×31×111×371×831×4191
LCM(9213,9218) = 84925434
Factors of 9213
List of positive integer factors of 9213 that divides 9213 without a remainder.
1, 3, 37, 83, 111, 249, 3071, 9213
Factors of 9218
List of positive integer factors of 9218 that divides 9218 without a remainder.
1, 2, 11, 22, 419, 838, 4609, 9218
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9213 and 9218, than apply into the LCM equation.
GCF(9213,9218) = 1
LCM(9213,9218) = ( 9213 × 9218) / 1
LCM(9213,9218) = 84925434 / 1
LCM(9213,9218) = 84925434
(i) The LCM of 9218 and 9213 is associative
LCM of 9213 and 9218 = LCM of 9218 and 9213
1. What is the LCM of 9213 and 9218?
Answer: LCM of 9213 and 9218 is 84925434.
2. What are the Factors of 9213?
Answer: Factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213. There are 8 integers that are factors of 9213. The greatest factor of 9213 is 9213.
3. What are the Factors of 9218?
Answer: Factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218. There are 8 integers that are factors of 9218. The greatest factor of 9218 is 9218.
4. How to Find the LCM of 9213 and 9218?
Answer:
Least Common Multiple of 9213 and 9218 = 84925434
Step 1: Find the prime factorization of 9213
9213 = 3 x 37 x 83
Step 2: Find the prime factorization of 9218
9218 = 2 x 11 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84925434 = 2 x 3 x 11 x 37 x 83 x 419
Step 4: Therefore, the least common multiple of 9213 and 9218 is 84925434.