Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9221 and 9229 the smallest integer that is 85100609 that is divisible by both numbers.
Least Common Multiple (LCM) of 9221 and 9229 is 85100609.
LCM(9221,9229) = 85100609
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 9221 and 9229. First we will calculate the prime factors of 9221 and 9229.
Prime Factorization of 9221
9221 | 9221 |
1 |
Prime factors of 9221 are 9221. Prime factorization of 9221 in exponential form is:
9221 = 92211
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 9221 and 9229.
LCM(9221,9229) = 111×8391×92211
LCM(9221,9229) = 85100609
Factors of 9221
List of positive integer factors of 9221 that divides 9221 without a remainder.
1, 9221
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 9221 and 9229, than apply into the LCM equation.
GCF(9221,9229) = 1
LCM(9221,9229) = ( 9221 × 9229) / 1
LCM(9221,9229) = 85100609 / 1
LCM(9221,9229) = 85100609
(i) The LCM of 9229 and 9221 is associative
LCM of 9221 and 9229 = LCM of 9229 and 9221
1. What is the LCM of 9221 and 9229?
Answer: LCM of 9221 and 9229 is 85100609.
2. What are the Factors of 9221?
Answer: Factors of 9221 are 1, 9221. There are 2 integers that are factors of 9221. The greatest factor of 9221 is 9221.
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 9221 and 9229?
Answer:
Least Common Multiple of 9221 and 9229 = 85100609
Step 1: Find the prime factorization of 9221
9221 = 9221
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 = 85100609 = 11 x 839 x 9221
Step 4: Therefore, the least common multiple of 9221 and 9229 is 85100609.