Least Common Multiple of 4275 and 4281

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 4281 the smallest integer that is 6100425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4275 and 4281 is 6100425.

LCM(4275,4281) = 6100425

LCM of 4275 and 4281

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

LCM of:
and

Least Common Multiple of 4275 and 4281

LCM of 4275 and 4281 is 6100425

Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4281. First we will calculate the prime factors of 4275 and 4281.

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 4281


3 4281
1427 1427
1

Prime factors of 4281 are 3,1427. Prime factorization of 4281 in exponential form is:

4281 = 31×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4281.

LCM(4275,4281) = 32×52×191×14271
LCM(4275,4281) = 6100425

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 4281

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

1, 3, 1427, 4281

Least Common Multiple of 4275 and 4281 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 4281, than apply into the LCM equation.

GCF(4275,4281) = 3
LCM(4275,4281) = ( 4275 × 4281) / 3
LCM(4275,4281) = 18301275 / 3
LCM(4275,4281) = 6100425

Properties of LCM 4275 and 4281

(i) The LCM of 4281 and 4275 is associative

LCM of 4275 and 4281 = LCM of 4281 and 4275

Related Least Common Multiples of 4275

Related Least Common Multiples of 4281

Frequently Asked Questions on LCM of 4275 and 4281

1. What is the LCM of 4275 and 4281?

Answer: LCM of 4275 and 4281 is 6100425.

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 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.

4. How to Find the LCM of 4275 and 4281?

Answer:

Least Common Multiple of 4275 and 4281 = 6100425

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 4281

4281 = 3 x 1427

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

LCM = 6100425 = 3 x 3 x 5 x 5 x 19 x 1427

Step 4: Therefore, the least common multiple of 4275 and 4281 is 6100425.