Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4279 and 4281 the smallest integer that is 18318399 that is divisible by both numbers.
Least Common Multiple (LCM) of 4279 and 4281 is 18318399.
LCM(4279,4281) = 18318399
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 4279 and 4281. First we will calculate the prime factors of 4279 and 4281.
Prime Factorization of 4279
11 | 4279 |
389 | 389 |
1 |
Prime factors of 4279 are 11,389. Prime factorization of 4279 in exponential form is:
4279 = 111×3891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4279 and 4281.
LCM(4279,4281) = 31×111×3891×14271
LCM(4279,4281) = 18318399
Factors of 4279
List of positive integer factors of 4279 that divides 4279 without a remainder.
1, 11, 389, 4279
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4279 and 4281, than apply into the LCM equation.
GCF(4279,4281) = 1
LCM(4279,4281) = ( 4279 × 4281) / 1
LCM(4279,4281) = 18318399 / 1
LCM(4279,4281) = 18318399
(i) The LCM of 4281 and 4279 is associative
LCM of 4279 and 4281 = LCM of 4281 and 4279
1. What is the LCM of 4279 and 4281?
Answer: LCM of 4279 and 4281 is 18318399.
2. What are the Factors of 4279?
Answer: Factors of 4279 are 1, 11, 389, 4279. There are 4 integers that are factors of 4279. The greatest factor of 4279 is 4279.
3. 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.
4. How to Find the LCM of 4279 and 4281?
Answer:
Least Common Multiple of 4279 and 4281 = 18318399
Step 1: Find the prime factorization of 4279
4279 = 11 x 389
Step 2: Find the prime factorization of 4281
4281 = 3 x 1427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18318399 = 3 x 11 x 389 x 1427
Step 4: Therefore, the least common multiple of 4279 and 4281 is 18318399.