Least Common Multiple of 1278 and 1284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1278 and 1284 the smallest integer that is 273492 that is divisible by both numbers.

Least Common Multiple (LCM) of 1278 and 1284 is 273492.

LCM(1278,1284) = 273492

LCM of 1278 and 1284

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

LCM of:
and

Least Common Multiple of 1278 and 1284

LCM of 1278 and 1284 is 273492

Least common multiple can be found by multiplying the highest exponent prime factors of 1278 and 1284. First we will calculate the prime factors of 1278 and 1284.

Prime Factorization of 1278


2 1278
3 639
3 213
71 71
1

Prime factors of 1278 are 2, 3,71. Prime factorization of 1278 in exponential form is:

1278 = 21×32×711

Prime Factorization of 1284


2 1284
2 642
3 321
107 107
1

Prime factors of 1284 are 2, 3,107. Prime factorization of 1284 in exponential form is:

1284 = 22×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1278 and 1284.

LCM(1278,1284) = 22×32×711×1071
LCM(1278,1284) = 273492

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278

Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284

Least Common Multiple of 1278 and 1284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1278 and 1284, than apply into the LCM equation.

GCF(1278,1284) = 6
LCM(1278,1284) = ( 1278 × 1284) / 6
LCM(1278,1284) = 1640952 / 6
LCM(1278,1284) = 273492

Properties of LCM 1278 and 1284

(i) The LCM of 1284 and 1278 is associative

LCM of 1278 and 1284 = LCM of 1284 and 1278

Related Least Common Multiples of 1278

Related Least Common Multiples of 1284

Frequently Asked Questions on LCM of 1278 and 1284

1. What is the LCM of 1278 and 1284?

Answer: LCM of 1278 and 1284 is 273492.

2. What are the Factors of 1278?

Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.

3. What are the Factors of 1284?

Answer: Factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284. There are 12 integers that are factors of 1284. The greatest factor of 1284 is 1284.

4. How to Find the LCM of 1278 and 1284?

Answer:

Least Common Multiple of 1278 and 1284 = 273492

Step 1: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 1284

1284 = 2 x 2 x 3 x 107

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

LCM = 273492 = 2 x 2 x 3 x 3 x 71 x 107

Step 4: Therefore, the least common multiple of 1278 and 1284 is 273492.