Least Common Multiple of 1278 and 1282

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 1282 the smallest integer that is 819198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1278 and 1282 is 819198.

LCM(1278,1282) = 819198

LCM of 1278 and 1282

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

LCM of:
and

Least Common Multiple of 1278 and 1282

LCM of 1278 and 1282 is 819198

Least common multiple can be found by multiplying the highest exponent prime factors of 1278 and 1282. First we will calculate the prime factors of 1278 and 1282.

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 1282


2 1282
641 641
1

Prime factors of 1282 are 2,641. Prime factorization of 1282 in exponential form is:

1282 = 21×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 1278 and 1282.

LCM(1278,1282) = 21×32×711×6411
LCM(1278,1282) = 819198

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 1282

List of positive integer factors of 1282 that divides 1282 without a remainder.

1, 2, 641, 1282

Least Common Multiple of 1278 and 1282 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 1282, than apply into the LCM equation.

GCF(1278,1282) = 2
LCM(1278,1282) = ( 1278 × 1282) / 2
LCM(1278,1282) = 1638396 / 2
LCM(1278,1282) = 819198

Properties of LCM 1278 and 1282

(i) The LCM of 1282 and 1278 is associative

LCM of 1278 and 1282 = LCM of 1282 and 1278

Related Least Common Multiples of 1278

Related Least Common Multiples of 1282

Frequently Asked Questions on LCM of 1278 and 1282

1. What is the LCM of 1278 and 1282?

Answer: LCM of 1278 and 1282 is 819198.

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 1282?

Answer: Factors of 1282 are 1, 2, 641, 1282. There are 4 integers that are factors of 1282. The greatest factor of 1282 is 1282.

4. How to Find the LCM of 1278 and 1282?

Answer:

Least Common Multiple of 1278 and 1282 = 819198

Step 1: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 1282

1282 = 2 x 641

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

LCM = 819198 = 2 x 3 x 3 x 71 x 641

Step 4: Therefore, the least common multiple of 1278 and 1282 is 819198.