Least Common Multiple of 4275 and 4282

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 4282 the smallest integer that is 18305550 that is divisible by both numbers.

Least Common Multiple (LCM) of 4275 and 4282 is 18305550.

LCM(4275,4282) = 18305550

LCM of 4275 and 4282

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

LCM of:
and

Least Common Multiple of 4275 and 4282

LCM of 4275 and 4282 is 18305550

Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4282. First we will calculate the prime factors of 4275 and 4282.

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 4282


2 4282
2141 2141
1

Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:

4282 = 21×21411

Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4282.

LCM(4275,4282) = 21×32×52×191×21411
LCM(4275,4282) = 18305550

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 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1, 2, 2141, 4282

Least Common Multiple of 4275 and 4282 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 4282, than apply into the LCM equation.

GCF(4275,4282) = 1
LCM(4275,4282) = ( 4275 × 4282) / 1
LCM(4275,4282) = 18305550 / 1
LCM(4275,4282) = 18305550

Properties of LCM 4275 and 4282

(i) The LCM of 4282 and 4275 is associative

LCM of 4275 and 4282 = LCM of 4282 and 4275

Related Least Common Multiples of 4275

Related Least Common Multiples of 4282

Frequently Asked Questions on LCM of 4275 and 4282

1. What is the LCM of 4275 and 4282?

Answer: LCM of 4275 and 4282 is 18305550.

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 4282?

Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.

4. How to Find the LCM of 4275 and 4282?

Answer:

Least Common Multiple of 4275 and 4282 = 18305550

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 4282

4282 = 2 x 2141

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

LCM = 18305550 = 2 x 3 x 3 x 5 x 5 x 19 x 2141

Step 4: Therefore, the least common multiple of 4275 and 4282 is 18305550.