Least Common Multiple of 4281 and 4285

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 4285 the smallest integer that is 18344085 that is divisible by both numbers.

Least Common Multiple (LCM) of 4281 and 4285 is 18344085.

LCM(4281,4285) = 18344085

LCM of 4281 and 4285

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

LCM of:
and

Least Common Multiple of 4281 and 4285

LCM of 4281 and 4285 is 18344085

Least common multiple can be found by multiplying the highest exponent prime factors of 4281 and 4285. First we will calculate the prime factors of 4281 and 4285.

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 4285


5 4285
857 857
1

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

4285 = 51×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 4281 and 4285.

LCM(4281,4285) = 31×51×8571×14271
LCM(4281,4285) = 18344085

Factors of 4281

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

1, 3, 1427, 4281

Factors of 4285

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

1, 5, 857, 4285

Least Common Multiple of 4281 and 4285 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 4285, than apply into the LCM equation.

GCF(4281,4285) = 1
LCM(4281,4285) = ( 4281 × 4285) / 1
LCM(4281,4285) = 18344085 / 1
LCM(4281,4285) = 18344085

Properties of LCM 4281 and 4285

(i) The LCM of 4285 and 4281 is associative

LCM of 4281 and 4285 = LCM of 4285 and 4281

Related Least Common Multiples of 4281

Related Least Common Multiples of 4285

Frequently Asked Questions on LCM of 4281 and 4285

1. What is the LCM of 4281 and 4285?

Answer: LCM of 4281 and 4285 is 18344085.

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 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.

4. How to Find the LCM of 4281 and 4285?

Answer:

Least Common Multiple of 4281 and 4285 = 18344085

Step 1: Find the prime factorization of 4281

4281 = 3 x 1427

Step 2: Find the prime factorization of 4285

4285 = 5 x 857

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

LCM = 18344085 = 3 x 5 x 857 x 1427

Step 4: Therefore, the least common multiple of 4281 and 4285 is 18344085.