Least Common Multiple of 4279 and 4281

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

LCM of 4279 and 4281

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4279 and 4281

LCM of 4279 and 4281 is 18318399

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

Least Common Multiple of 4279 and 4281 with GCF Formula

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

Properties of LCM 4279 and 4281

(i) The LCM of 4281 and 4279 is associative

LCM of 4279 and 4281 = LCM of 4281 and 4279

Frequently Asked Questions on LCM of 4279 and 4281

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.