Least Common Multiple of 4281 and 4289

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 4289 the smallest integer that is 18361209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4281 and 4289 is 18361209.

LCM(4281,4289) = 18361209

LCM of 4281 and 4289

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

LCM of:
and

Least Common Multiple of 4281 and 4289

LCM of 4281 and 4289 is 18361209

Least common multiple can be found by multiplying the highest exponent prime factors of 4281 and 4289. First we will calculate the prime factors of 4281 and 4289.

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 4289


4289 4289
1

Prime factors of 4289 are 4289. Prime factorization of 4289 in exponential form is:

4289 = 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4289.

LCM(4281,4289) = 31×14271×42891
LCM(4281,4289) = 18361209

Factors of 4281

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

1, 3, 1427, 4281

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1, 4289

Least Common Multiple of 4281 and 4289 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 4289, than apply into the LCM equation.

GCF(4281,4289) = 1
LCM(4281,4289) = ( 4281 × 4289) / 1
LCM(4281,4289) = 18361209 / 1
LCM(4281,4289) = 18361209

Properties of LCM 4281 and 4289

(i) The LCM of 4289 and 4281 is associative

LCM of 4281 and 4289 = LCM of 4289 and 4281

Related Least Common Multiples of 4281

Related Least Common Multiples of 4289

Frequently Asked Questions on LCM of 4281 and 4289

1. What is the LCM of 4281 and 4289?

Answer: LCM of 4281 and 4289 is 18361209.

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 4289?

Answer: Factors of 4289 are 1, 4289. There are 2 integers that are factors of 4289. The greatest factor of 4289 is 4289.

4. How to Find the LCM of 4281 and 4289?

Answer:

Least Common Multiple of 4281 and 4289 = 18361209

Step 1: Find the prime factorization of 4281

4281 = 3 x 1427

Step 2: Find the prime factorization of 4289

4289 = 4289

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

LCM = 18361209 = 3 x 1427 x 4289

Step 4: Therefore, the least common multiple of 4281 and 4289 is 18361209.