Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9223 and 9229 the smallest integer that is 85119067 that is divisible by both numbers.
Least Common Multiple (LCM) of 9223 and 9229 is 85119067.
LCM(9223,9229) = 85119067
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 9223 and 9229. First we will calculate the prime factors of 9223 and 9229.
Prime Factorization of 9223
23 | 9223 |
401 | 401 |
1 |
Prime factors of 9223 are 23,401. Prime factorization of 9223 in exponential form is:
9223 = 231×4011
Prime Factorization of 9229
11 | 9229 |
839 | 839 |
1 |
Prime factors of 9229 are 11,839. Prime factorization of 9229 in exponential form is:
9229 = 111×8391
Now multiplying the highest exponent prime factors to calculate the LCM of 9223 and 9229.
LCM(9223,9229) = 111×231×4011×8391
LCM(9223,9229) = 85119067
Factors of 9223
List of positive integer factors of 9223 that divides 9223 without a remainder.
1, 23, 401, 9223
Factors of 9229
List of positive integer factors of 9229 that divides 9229 without a remainder.
1, 11, 839, 9229
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9223 and 9229, than apply into the LCM equation.
GCF(9223,9229) = 1
LCM(9223,9229) = ( 9223 × 9229) / 1
LCM(9223,9229) = 85119067 / 1
LCM(9223,9229) = 85119067
(i) The LCM of 9229 and 9223 is associative
LCM of 9223 and 9229 = LCM of 9229 and 9223
1. What is the LCM of 9223 and 9229?
Answer: LCM of 9223 and 9229 is 85119067.
2. What are the Factors of 9223?
Answer: Factors of 9223 are 1, 23, 401, 9223. There are 4 integers that are factors of 9223. The greatest factor of 9223 is 9223.
3. What are the Factors of 9229?
Answer: Factors of 9229 are 1, 11, 839, 9229. There are 4 integers that are factors of 9229. The greatest factor of 9229 is 9229.
4. How to Find the LCM of 9223 and 9229?
Answer:
Least Common Multiple of 9223 and 9229 = 85119067
Step 1: Find the prime factorization of 9223
9223 = 23 x 401
Step 2: Find the prime factorization of 9229
9229 = 11 x 839
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85119067 = 11 x 23 x 401 x 839
Step 4: Therefore, the least common multiple of 9223 and 9229 is 85119067.