Least Common Multiple of 4278 and 4284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4278 and 4284 the smallest integer that is 3054492 that is divisible by both numbers.

Least Common Multiple (LCM) of 4278 and 4284 is 3054492.

LCM(4278,4284) = 3054492

LCM of 4278 and 4284

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

LCM of:
and

Least Common Multiple of 4278 and 4284

LCM of 4278 and 4284 is 3054492

Least common multiple can be found by multiplying the highest exponent prime factors of 4278 and 4284. First we will calculate the prime factors of 4278 and 4284.

Prime Factorization of 4278


2 4278
3 2139
23 713
31 31
1

Prime factors of 4278 are 2, 3, 23,31. Prime factorization of 4278 in exponential form is:

4278 = 21×31×231×311

Prime Factorization of 4284


2 4284
2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 4284 are 2, 3, 7,17. Prime factorization of 4284 in exponential form is:

4284 = 22×32×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4278 and 4284.

LCM(4278,4284) = 22×32×71×171×231×311
LCM(4278,4284) = 3054492

Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284

Least Common Multiple of 4278 and 4284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4278 and 4284, than apply into the LCM equation.

GCF(4278,4284) = 6
LCM(4278,4284) = ( 4278 × 4284) / 6
LCM(4278,4284) = 18326952 / 6
LCM(4278,4284) = 3054492

Properties of LCM 4278 and 4284

(i) The LCM of 4284 and 4278 is associative

LCM of 4278 and 4284 = LCM of 4284 and 4278

Related Least Common Multiples of 4278

Related Least Common Multiples of 4284

Frequently Asked Questions on LCM of 4278 and 4284

1. What is the LCM of 4278 and 4284?

Answer: LCM of 4278 and 4284 is 3054492.

2. What are the Factors of 4278?

Answer: Factors of 4278 are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139, 4278. There are 16 integers that are factors of 4278. The greatest factor of 4278 is 4278.

3. What are the Factors of 4284?

Answer: Factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284. There are 36 integers that are factors of 4284. The greatest factor of 4284 is 4284.

4. How to Find the LCM of 4278 and 4284?

Answer:

Least Common Multiple of 4278 and 4284 = 3054492

Step 1: Find the prime factorization of 4278

4278 = 2 x 3 x 23 x 31

Step 2: Find the prime factorization of 4284

4284 = 2 x 2 x 3 x 3 x 7 x 17

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

LCM = 3054492 = 2 x 2 x 3 x 3 x 7 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 4278 and 4284 is 3054492.