Least Common Multiple of 4281 and 4287

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

LCM of 4281 and 4287

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

LCM of:
and

Least Common Multiple of 4281 and 4287

LCM of 4281 and 4287 is 6117549

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

Least Common Multiple of 4281 and 4287 with GCF Formula

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

Properties of LCM 4281 and 4287

(i) The LCM of 4287 and 4281 is associative

LCM of 4281 and 4287 = LCM of 4287 and 4281

Frequently Asked Questions on LCM of 4281 and 4287

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.