Least Common Multiple of 4286 and 4293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4286 and 4293 the smallest integer that is 18399798 that is divisible by both numbers.

Least Common Multiple (LCM) of 4286 and 4293 is 18399798.

LCM(4286,4293) = 18399798

LCM of 4286 and 4293

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

LCM of:
and

Least Common Multiple of 4286 and 4293

LCM of 4286 and 4293 is 18399798

Least common multiple can be found by multiplying the highest exponent prime factors of 4286 and 4293. First we will calculate the prime factors of 4286 and 4293.

Prime Factorization of 4286


2 4286
2143 2143
1

Prime factors of 4286 are 2,2143. Prime factorization of 4286 in exponential form is:

4286 = 21×21431

Prime Factorization of 4293


3 4293
3 1431
3 477
3 159
53 53
1

Prime factors of 4293 are 3,53. Prime factorization of 4293 in exponential form is:

4293 = 34×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4286 and 4293.

LCM(4286,4293) = 21×34×531×21431
LCM(4286,4293) = 18399798

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1, 2, 2143, 4286

Factors of 4293

List of positive integer factors of 4293 that divides 4293 without a remainder.

1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293

Least Common Multiple of 4286 and 4293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4286 and 4293, than apply into the LCM equation.

GCF(4286,4293) = 1
LCM(4286,4293) = ( 4286 × 4293) / 1
LCM(4286,4293) = 18399798 / 1
LCM(4286,4293) = 18399798

Properties of LCM 4286 and 4293

(i) The LCM of 4293 and 4286 is associative

LCM of 4286 and 4293 = LCM of 4293 and 4286

Related Least Common Multiples of 4286

Related Least Common Multiples of 4293

Frequently Asked Questions on LCM of 4286 and 4293

1. What is the LCM of 4286 and 4293?

Answer: LCM of 4286 and 4293 is 18399798.

2. What are the Factors of 4286?

Answer: Factors of 4286 are 1, 2, 2143, 4286. There are 4 integers that are factors of 4286. The greatest factor of 4286 is 4286.

3. What are the Factors of 4293?

Answer: Factors of 4293 are 1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293. There are 10 integers that are factors of 4293. The greatest factor of 4293 is 4293.

4. How to Find the LCM of 4286 and 4293?

Answer:

Least Common Multiple of 4286 and 4293 = 18399798

Step 1: Find the prime factorization of 4286

4286 = 2 x 2143

Step 2: Find the prime factorization of 4293

4293 = 3 x 3 x 3 x 3 x 53

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

LCM = 18399798 = 2 x 3 x 3 x 3 x 3 x 53 x 2143

Step 4: Therefore, the least common multiple of 4286 and 4293 is 18399798.