Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9236 and 9244 the smallest integer that is 21344396 that is divisible by both numbers.
Least Common Multiple (LCM) of 9236 and 9244 is 21344396.
LCM(9236,9244) = 21344396
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 9236 and 9244. First we will calculate the prime factors of 9236 and 9244.
Prime Factorization of 9236
2 | 9236 |
2 | 4618 |
2309 | 2309 |
1 |
Prime factors of 9236 are 2,2309. Prime factorization of 9236 in exponential form is:
9236 = 22×23091
Prime Factorization of 9244
2 | 9244 |
2 | 4622 |
2311 | 2311 |
1 |
Prime factors of 9244 are 2,2311. Prime factorization of 9244 in exponential form is:
9244 = 22×23111
Now multiplying the highest exponent prime factors to calculate the LCM of 9236 and 9244.
LCM(9236,9244) = 22×23091×23111
LCM(9236,9244) = 21344396
Factors of 9236
List of positive integer factors of 9236 that divides 9236 without a remainder.
1, 2, 4, 2309, 4618, 9236
Factors of 9244
List of positive integer factors of 9244 that divides 9244 without a remainder.
1, 2, 4, 2311, 4622, 9244
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9236 and 9244, than apply into the LCM equation.
GCF(9236,9244) = 4
LCM(9236,9244) = ( 9236 × 9244) / 4
LCM(9236,9244) = 85377584 / 4
LCM(9236,9244) = 21344396
(i) The LCM of 9244 and 9236 is associative
LCM of 9236 and 9244 = LCM of 9244 and 9236
1. What is the LCM of 9236 and 9244?
Answer: LCM of 9236 and 9244 is 21344396.
2. What are the Factors of 9236?
Answer: Factors of 9236 are 1, 2, 4, 2309, 4618, 9236. There are 6 integers that are factors of 9236. The greatest factor of 9236 is 9236.
3. What are the Factors of 9244?
Answer: Factors of 9244 are 1, 2, 4, 2311, 4622, 9244. There are 6 integers that are factors of 9244. The greatest factor of 9244 is 9244.
4. How to Find the LCM of 9236 and 9244?
Answer:
Least Common Multiple of 9236 and 9244 = 21344396
Step 1: Find the prime factorization of 9236
9236 = 2 x 2 x 2309
Step 2: Find the prime factorization of 9244
9244 = 2 x 2 x 2311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21344396 = 2 x 2 x 2309 x 2311
Step 4: Therefore, the least common multiple of 9236 and 9244 is 21344396.