Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15227 and 15232 the smallest integer that is 231937664 that is divisible by both numbers.
Least Common Multiple (LCM) of 15227 and 15232 is 231937664.
LCM(15227,15232) = 231937664
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 15227 and 15232. First we will calculate the prime factors of 15227 and 15232.
Prime Factorization of 15227
15227 | 15227 |
1 |
Prime factors of 15227 are 15227. Prime factorization of 15227 in exponential form is:
15227 = 152271
Prime Factorization of 15232
2 | 15232 |
2 | 7616 |
2 | 3808 |
2 | 1904 |
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 15232 are 2, 7,17. Prime factorization of 15232 in exponential form is:
15232 = 27×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15232.
LCM(15227,15232) = 27×71×171×152271
LCM(15227,15232) = 231937664
Factors of 15227
List of positive integer factors of 15227 that divides 15227 without a remainder.
1, 15227
Factors of 15232
List of positive integer factors of 15232 that divides 15232 without a remainder.
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15227 and 15232, than apply into the LCM equation.
GCF(15227,15232) = 1
LCM(15227,15232) = ( 15227 × 15232) / 1
LCM(15227,15232) = 231937664 / 1
LCM(15227,15232) = 231937664
(i) The LCM of 15232 and 15227 is associative
LCM of 15227 and 15232 = LCM of 15232 and 15227
1. What is the LCM of 15227 and 15232?
Answer: LCM of 15227 and 15232 is 231937664.
2. What are the Factors of 15227?
Answer: Factors of 15227 are 1, 15227. There are 2 integers that are factors of 15227. The greatest factor of 15227 is 15227.
3. What are the Factors of 15232?
Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.
4. How to Find the LCM of 15227 and 15232?
Answer:
Least Common Multiple of 15227 and 15232 = 231937664
Step 1: Find the prime factorization of 15227
15227 = 15227
Step 2: Find the prime factorization of 15232
15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 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 = 231937664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 15227
Step 4: Therefore, the least common multiple of 15227 and 15232 is 231937664.