Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9244 and 9248 the smallest integer that is 21372128 that is divisible by both numbers.
Least Common Multiple (LCM) of 9244 and 9248 is 21372128.
LCM(9244,9248) = 21372128
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 9244 and 9248. First we will calculate the prime factors of 9244 and 9248.
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
Prime Factorization of 9248
2 | 9248 |
2 | 4624 |
2 | 2312 |
2 | 1156 |
2 | 578 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 9248 are 2,17. Prime factorization of 9248 in exponential form is:
9248 = 25×172
Now multiplying the highest exponent prime factors to calculate the LCM of 9244 and 9248.
LCM(9244,9248) = 25×172×23111
LCM(9244,9248) = 21372128
Factors of 9244
List of positive integer factors of 9244 that divides 9244 without a remainder.
1, 2, 4, 2311, 4622, 9244
Factors of 9248
List of positive integer factors of 9248 that divides 9248 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9244 and 9248, than apply into the LCM equation.
GCF(9244,9248) = 4
LCM(9244,9248) = ( 9244 × 9248) / 4
LCM(9244,9248) = 85488512 / 4
LCM(9244,9248) = 21372128
(i) The LCM of 9248 and 9244 is associative
LCM of 9244 and 9248 = LCM of 9248 and 9244
1. What is the LCM of 9244 and 9248?
Answer: LCM of 9244 and 9248 is 21372128.
2. 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.
3. What are the Factors of 9248?
Answer: Factors of 9248 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. There are 18 integers that are factors of 9248. The greatest factor of 9248 is 9248.
4. How to Find the LCM of 9244 and 9248?
Answer:
Least Common Multiple of 9244 and 9248 = 21372128
Step 1: Find the prime factorization of 9244
9244 = 2 x 2 x 2311
Step 2: Find the prime factorization of 9248
9248 = 2 x 2 x 2 x 2 x 2 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21372128 = 2 x 2 x 2 x 2 x 2 x 17 x 17 x 2311
Step 4: Therefore, the least common multiple of 9244 and 9248 is 21372128.