Least Common Multiple of 4285 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 4285 and 4289 the smallest integer that is 18378365 that is divisible by both numbers.

Least Common Multiple (LCM) of 4285 and 4289 is 18378365.

LCM(4285,4289) = 18378365

LCM of 4285 and 4289

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

LCM of:
and

Least Common Multiple of 4285 and 4289

LCM of 4285 and 4289 is 18378365

Least common multiple can be found by multiplying the highest exponent prime factors of 4285 and 4289. First we will calculate the prime factors of 4285 and 4289.

Prime Factorization of 4285


5 4285
857 857
1

Prime factors of 4285 are 5,857. Prime factorization of 4285 in exponential form is:

4285 = 51×8571

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 4285 and 4289.

LCM(4285,4289) = 51×8571×42891
LCM(4285,4289) = 18378365

Factors of 4285

List of positive integer factors of 4285 that divides 4285 without a remainder.

1, 5, 857, 4285

Factors of 4289

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

1, 4289

Least Common Multiple of 4285 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 4285 and 4289, than apply into the LCM equation.

GCF(4285,4289) = 1
LCM(4285,4289) = ( 4285 × 4289) / 1
LCM(4285,4289) = 18378365 / 1
LCM(4285,4289) = 18378365

Properties of LCM 4285 and 4289

(i) The LCM of 4289 and 4285 is associative

LCM of 4285 and 4289 = LCM of 4289 and 4285

Related Least Common Multiples of 4285

Related Least Common Multiples of 4289

Frequently Asked Questions on LCM of 4285 and 4289

1. What is the LCM of 4285 and 4289?

Answer: LCM of 4285 and 4289 is 18378365.

2. What are the Factors of 4285?

Answer: Factors of 4285 are 1, 5, 857, 4285. There are 4 integers that are factors of 4285. The greatest factor of 4285 is 4285.

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 4285 and 4289?

Answer:

Least Common Multiple of 4285 and 4289 = 18378365

Step 1: Find the prime factorization of 4285

4285 = 5 x 857

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 = 18378365 = 5 x 857 x 4289

Step 4: Therefore, the least common multiple of 4285 and 4289 is 18378365.