Least Common Multiple of 4281 and 4284

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 4284 the smallest integer that is 6113268 that is divisible by both numbers.

Least Common Multiple (LCM) of 4281 and 4284 is 6113268.

LCM(4281,4284) = 6113268

LCM of 4281 and 4284

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

LCM of:
and

Least Common Multiple of 4281 and 4284

LCM of 4281 and 4284 is 6113268

Least common multiple can be found by multiplying the highest exponent prime factors of 4281 and 4284. First we will calculate the prime factors of 4281 and 4284.

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 4284


2 4284
2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 4284 are 2, 3, 7,17. Prime factorization of 4284 in exponential form is:

4284 = 22×32×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4284.

LCM(4281,4284) = 22×32×71×171×14271
LCM(4281,4284) = 6113268

Factors of 4281

List of positive integer factors of 4281 that divides 4281 without a remainder.

1, 3, 1427, 4281

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284

Least Common Multiple of 4281 and 4284 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 4284, than apply into the LCM equation.

GCF(4281,4284) = 3
LCM(4281,4284) = ( 4281 × 4284) / 3
LCM(4281,4284) = 18339804 / 3
LCM(4281,4284) = 6113268

Properties of LCM 4281 and 4284

(i) The LCM of 4284 and 4281 is associative

LCM of 4281 and 4284 = LCM of 4284 and 4281

Related Least Common Multiples of 4281

Related Least Common Multiples of 4284

Frequently Asked Questions on LCM of 4281 and 4284

1. What is the LCM of 4281 and 4284?

Answer: LCM of 4281 and 4284 is 6113268.

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 4284?

Answer: Factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284. There are 36 integers that are factors of 4284. The greatest factor of 4284 is 4284.

4. How to Find the LCM of 4281 and 4284?

Answer:

Least Common Multiple of 4281 and 4284 = 6113268

Step 1: Find the prime factorization of 4281

4281 = 3 x 1427

Step 2: Find the prime factorization of 4284

4284 = 2 x 2 x 3 x 3 x 7 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6113268 = 2 x 2 x 3 x 3 x 7 x 17 x 1427

Step 4: Therefore, the least common multiple of 4281 and 4284 is 6113268.