Least Common Multiple of 4254 and 4255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4254 and 4255 the smallest integer that is 18100770 that is divisible by both numbers.

Least Common Multiple (LCM) of 4254 and 4255 is 18100770.

LCM(4254,4255) = 18100770

LCM of 4254 and 4255

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

LCM of:
and

Least Common Multiple of 4254 and 4255

LCM of 4254 and 4255 is 18100770

Least common multiple can be found by multiplying the highest exponent prime factors of 4254 and 4255. First we will calculate the prime factors of 4254 and 4255.

Prime Factorization of 4254


2 4254
3 2127
709 709
1

Prime factors of 4254 are 2, 3,709. Prime factorization of 4254 in exponential form is:

4254 = 21×31×7091

Prime Factorization of 4255


5 4255
23 851
37 37
1

Prime factors of 4255 are 5, 23,37. Prime factorization of 4255 in exponential form is:

4255 = 51×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4254 and 4255.

LCM(4254,4255) = 21×31×51×231×371×7091
LCM(4254,4255) = 18100770

Factors of 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1, 2, 3, 6, 709, 1418, 2127, 4254

Factors of 4255

List of positive integer factors of 4255 that divides 4255 without a remainder.

1, 5, 23, 37, 115, 185, 851, 4255

Least Common Multiple of 4254 and 4255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4254 and 4255, than apply into the LCM equation.

GCF(4254,4255) = 1
LCM(4254,4255) = ( 4254 × 4255) / 1
LCM(4254,4255) = 18100770 / 1
LCM(4254,4255) = 18100770

Properties of LCM 4254 and 4255

(i) The LCM of 4255 and 4254 is associative

LCM of 4254 and 4255 = LCM of 4255 and 4254

Related Least Common Multiples of 4254

Related Least Common Multiples of 4255

Frequently Asked Questions on LCM of 4254 and 4255

1. What is the LCM of 4254 and 4255?

Answer: LCM of 4254 and 4255 is 18100770.

2. What are the Factors of 4254?

Answer: Factors of 4254 are 1, 2, 3, 6, 709, 1418, 2127, 4254. There are 8 integers that are factors of 4254. The greatest factor of 4254 is 4254.

3. What are the Factors of 4255?

Answer: Factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255. There are 8 integers that are factors of 4255. The greatest factor of 4255 is 4255.

4. How to Find the LCM of 4254 and 4255?

Answer:

Least Common Multiple of 4254 and 4255 = 18100770

Step 1: Find the prime factorization of 4254

4254 = 2 x 3 x 709

Step 2: Find the prime factorization of 4255

4255 = 5 x 23 x 37

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

LCM = 18100770 = 2 x 3 x 5 x 23 x 37 x 709

Step 4: Therefore, the least common multiple of 4254 and 4255 is 18100770.