Least Common Multiple of 4275 and 4283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4275 and 4283 the smallest integer that is 18309825 that is divisible by both numbers.

Least Common Multiple (LCM) of 4275 and 4283 is 18309825.

LCM(4275,4283) = 18309825

LCM of 4275 and 4283

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

LCM of:
and

Least Common Multiple of 4275 and 4283

LCM of 4275 and 4283 is 18309825

Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4283. First we will calculate the prime factors of 4275 and 4283.

Prime Factorization of 4275


3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 4275 are 3, 5,19. Prime factorization of 4275 in exponential form is:

4275 = 32×52×191

Prime Factorization of 4283


4283 4283
1

Prime factors of 4283 are 4283. Prime factorization of 4283 in exponential form is:

4283 = 42831

Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4283.

LCM(4275,4283) = 32×52×191×42831
LCM(4275,4283) = 18309825

Factors of 4275

List of positive integer factors of 4275 that divides 4275 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275

Factors of 4283

List of positive integer factors of 4283 that divides 4283 without a remainder.

1, 4283

Least Common Multiple of 4275 and 4283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4275 and 4283, than apply into the LCM equation.

GCF(4275,4283) = 1
LCM(4275,4283) = ( 4275 × 4283) / 1
LCM(4275,4283) = 18309825 / 1
LCM(4275,4283) = 18309825

Properties of LCM 4275 and 4283

(i) The LCM of 4283 and 4275 is associative

LCM of 4275 and 4283 = LCM of 4283 and 4275

Related Least Common Multiples of 4275

Related Least Common Multiples of 4283

Frequently Asked Questions on LCM of 4275 and 4283

1. What is the LCM of 4275 and 4283?

Answer: LCM of 4275 and 4283 is 18309825.

2. What are the Factors of 4275?

Answer: Factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275. There are 18 integers that are factors of 4275. The greatest factor of 4275 is 4275.

3. What are the Factors of 4283?

Answer: Factors of 4283 are 1, 4283. There are 2 integers that are factors of 4283. The greatest factor of 4283 is 4283.

4. How to Find the LCM of 4275 and 4283?

Answer:

Least Common Multiple of 4275 and 4283 = 18309825

Step 1: Find the prime factorization of 4275

4275 = 3 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 4283

4283 = 4283

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

LCM = 18309825 = 3 x 3 x 5 x 5 x 19 x 4283

Step 4: Therefore, the least common multiple of 4275 and 4283 is 18309825.