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 4286 the smallest integer that is 18348366 that is divisible by both numbers.
Least Common Multiple (LCM) of 4281 and 4286 is 18348366.
LCM(4281,4286) = 18348366
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 4286. First we will calculate the prime factors of 4281 and 4286.
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 4286
2 | 4286 |
2143 | 2143 |
1 |
Prime factors of 4286 are 2,2143. Prime factorization of 4286 in exponential form is:
4286 = 21×21431
Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4286.
LCM(4281,4286) = 21×31×14271×21431
LCM(4281,4286) = 18348366
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
Factors of 4286
List of positive integer factors of 4286 that divides 4286 without a remainder.
1, 2, 2143, 4286
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4281 and 4286, than apply into the LCM equation.
GCF(4281,4286) = 1
LCM(4281,4286) = ( 4281 × 4286) / 1
LCM(4281,4286) = 18348366 / 1
LCM(4281,4286) = 18348366
(i) The LCM of 4286 and 4281 is associative
LCM of 4281 and 4286 = LCM of 4286 and 4281
1. What is the LCM of 4281 and 4286?
Answer: LCM of 4281 and 4286 is 18348366.
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 4286?
Answer: Factors of 4286 are 1, 2, 2143, 4286. There are 4 integers that are factors of 4286. The greatest factor of 4286 is 4286.
4. How to Find the LCM of 4281 and 4286?
Answer:
Least Common Multiple of 4281 and 4286 = 18348366
Step 1: Find the prime factorization of 4281
4281 = 3 x 1427
Step 2: Find the prime factorization of 4286
4286 = 2 x 2143
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18348366 = 2 x 3 x 1427 x 2143
Step 4: Therefore, the least common multiple of 4281 and 4286 is 18348366.