Least Common Multiple of 1278 and 1285

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 1285 the smallest integer that is 1642230 that is divisible by both numbers.

Least Common Multiple (LCM) of 1278 and 1285 is 1642230.

LCM(1278,1285) = 1642230

LCM of 1278 and 1285

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

LCM of:
and

Least Common Multiple of 1278 and 1285

LCM of 1278 and 1285 is 1642230

Least common multiple can be found by multiplying the highest exponent prime factors of 1278 and 1285. First we will calculate the prime factors of 1278 and 1285.

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 1285


5 1285
257 257
1

Prime factors of 1285 are 5,257. Prime factorization of 1285 in exponential form is:

1285 = 51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 1278 and 1285.

LCM(1278,1285) = 21×32×51×711×2571
LCM(1278,1285) = 1642230

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 1285

List of positive integer factors of 1285 that divides 1285 without a remainder.

1, 5, 257, 1285

Least Common Multiple of 1278 and 1285 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 1285, than apply into the LCM equation.

GCF(1278,1285) = 1
LCM(1278,1285) = ( 1278 × 1285) / 1
LCM(1278,1285) = 1642230 / 1
LCM(1278,1285) = 1642230

Properties of LCM 1278 and 1285

(i) The LCM of 1285 and 1278 is associative

LCM of 1278 and 1285 = LCM of 1285 and 1278

Related Least Common Multiples of 1278

Related Least Common Multiples of 1285

Frequently Asked Questions on LCM of 1278 and 1285

1. What is the LCM of 1278 and 1285?

Answer: LCM of 1278 and 1285 is 1642230.

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 1285?

Answer: Factors of 1285 are 1, 5, 257, 1285. There are 4 integers that are factors of 1285. The greatest factor of 1285 is 1285.

4. How to Find the LCM of 1278 and 1285?

Answer:

Least Common Multiple of 1278 and 1285 = 1642230

Step 1: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 1285

1285 = 5 x 257

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

LCM = 1642230 = 2 x 3 x 3 x 5 x 71 x 257

Step 4: Therefore, the least common multiple of 1278 and 1285 is 1642230.