Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9224 and 9226 the smallest integer that is 42550312 that is divisible by both numbers.
Least Common Multiple (LCM) of 9224 and 9226 is 42550312.
LCM(9224,9226) = 42550312
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 9224 and 9226. First we will calculate the prime factors of 9224 and 9226.
Prime Factorization of 9224
2 | 9224 |
2 | 4612 |
2 | 2306 |
1153 | 1153 |
1 |
Prime factors of 9224 are 2,1153. Prime factorization of 9224 in exponential form is:
9224 = 23×11531
Prime Factorization of 9226
2 | 9226 |
7 | 4613 |
659 | 659 |
1 |
Prime factors of 9226 are 2, 7,659. Prime factorization of 9226 in exponential form is:
9226 = 21×71×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 9224 and 9226.
LCM(9224,9226) = 23×71×6591×11531
LCM(9224,9226) = 42550312
Factors of 9224
List of positive integer factors of 9224 that divides 9224 without a remainder.
1, 2, 4, 8, 1153, 2306, 4612, 9224
Factors of 9226
List of positive integer factors of 9226 that divides 9226 without a remainder.
1, 2, 7, 14, 659, 1318, 4613, 9226
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9224 and 9226, than apply into the LCM equation.
GCF(9224,9226) = 2
LCM(9224,9226) = ( 9224 × 9226) / 2
LCM(9224,9226) = 85100624 / 2
LCM(9224,9226) = 42550312
(i) The LCM of 9226 and 9224 is associative
LCM of 9224 and 9226 = LCM of 9226 and 9224
1. What is the LCM of 9224 and 9226?
Answer: LCM of 9224 and 9226 is 42550312.
2. What are the Factors of 9224?
Answer: Factors of 9224 are 1, 2, 4, 8, 1153, 2306, 4612, 9224. There are 8 integers that are factors of 9224. The greatest factor of 9224 is 9224.
3. What are the Factors of 9226?
Answer: Factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226. There are 8 integers that are factors of 9226. The greatest factor of 9226 is 9226.
4. How to Find the LCM of 9224 and 9226?
Answer:
Least Common Multiple of 9224 and 9226 = 42550312
Step 1: Find the prime factorization of 9224
9224 = 2 x 2 x 2 x 1153
Step 2: Find the prime factorization of 9226
9226 = 2 x 7 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42550312 = 2 x 2 x 2 x 7 x 659 x 1153
Step 4: Therefore, the least common multiple of 9224 and 9226 is 42550312.