Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4281 and 4288 the smallest integer that is 18356928 that is divisible by both numbers.
Least Common Multiple (LCM) of 4281 and 4288 is 18356928.
LCM(4281,4288) = 18356928
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 4281 and 4288. First we will calculate the prime factors of 4281 and 4288.
Prime Factorization of 4281
3 | 4281 |
1427 | 1427 |
1 |
Prime factors of 4281 are 3,1427. Prime factorization of 4281 in exponential form is:
4281 = 31×14271
Prime Factorization of 4288
2 | 4288 |
2 | 2144 |
2 | 1072 |
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 4288 are 2,67. Prime factorization of 4288 in exponential form is:
4288 = 26×671
Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4288.
LCM(4281,4288) = 26×31×671×14271
LCM(4281,4288) = 18356928
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
Factors of 4288
List of positive integer factors of 4288 that divides 4288 without a remainder.
1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4281 and 4288, than apply into the LCM equation.
GCF(4281,4288) = 1
LCM(4281,4288) = ( 4281 × 4288) / 1
LCM(4281,4288) = 18356928 / 1
LCM(4281,4288) = 18356928
(i) The LCM of 4288 and 4281 is associative
LCM of 4281 and 4288 = LCM of 4288 and 4281
1. What is the LCM of 4281 and 4288?
Answer: LCM of 4281 and 4288 is 18356928.
2. What are the Factors of 4281?
Answer: Factors of 4281 are 1, 3, 1427, 4281. There are 4 integers that are factors of 4281. The greatest factor of 4281 is 4281.
3. What are the Factors of 4288?
Answer: Factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288. There are 14 integers that are factors of 4288. The greatest factor of 4288 is 4288.
4. How to Find the LCM of 4281 and 4288?
Answer:
Least Common Multiple of 4281 and 4288 = 18356928
Step 1: Find the prime factorization of 4281
4281 = 3 x 1427
Step 2: Find the prime factorization of 4288
4288 = 2 x 2 x 2 x 2 x 2 x 2 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18356928 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 67 x 1427
Step 4: Therefore, the least common multiple of 4281 and 4288 is 18356928.