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 4287 the smallest integer that is 6117549 that is divisible by both numbers.
Least Common Multiple (LCM) of 4281 and 4287 is 6117549.
LCM(4281,4287) = 6117549
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 4287. First we will calculate the prime factors of 4281 and 4287.
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 4287
3 | 4287 |
1429 | 1429 |
1 |
Prime factors of 4287 are 3,1429. Prime factorization of 4287 in exponential form is:
4287 = 31×14291
Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4287.
LCM(4281,4287) = 31×14271×14291
LCM(4281,4287) = 6117549
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1, 3, 1429, 4287
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4281 and 4287, than apply into the LCM equation.
GCF(4281,4287) = 3
LCM(4281,4287) = ( 4281 × 4287) / 3
LCM(4281,4287) = 18352647 / 3
LCM(4281,4287) = 6117549
(i) The LCM of 4287 and 4281 is associative
LCM of 4281 and 4287 = LCM of 4287 and 4281
1. What is the LCM of 4281 and 4287?
Answer: LCM of 4281 and 4287 is 6117549.
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 4287?
Answer: Factors of 4287 are 1, 3, 1429, 4287. There are 4 integers that are factors of 4287. The greatest factor of 4287 is 4287.
4. How to Find the LCM of 4281 and 4287?
Answer:
Least Common Multiple of 4281 and 4287 = 6117549
Step 1: Find the prime factorization of 4281
4281 = 3 x 1427
Step 2: Find the prime factorization of 4287
4287 = 3 x 1429
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6117549 = 3 x 1427 x 1429
Step 4: Therefore, the least common multiple of 4281 and 4287 is 6117549.