Least Common Multiple of 278 and 285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 278 and 285 the smallest integer that is 79230 that is divisible by both numbers.

Least Common Multiple (LCM) of 278 and 285 is 79230.

LCM(278,285) = 79230

LCM of 278 and 285

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

LCM of:
and

Least Common Multiple of 278 and 285

LCM of 278 and 285 is 79230

Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 285. First we will calculate the prime factors of 278 and 285.

Prime Factorization of 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Prime Factorization of 285


3 285
5 95
19 19
1

Prime factors of 285 are 3, 5,19. Prime factorization of 285 in exponential form is:

285 = 31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 278 and 285.

LCM(278,285) = 21×31×51×191×1391
LCM(278,285) = 79230

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Least Common Multiple of 278 and 285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 278 and 285, than apply into the LCM equation.

GCF(278,285) = 1
LCM(278,285) = ( 278 × 285) / 1
LCM(278,285) = 79230 / 1
LCM(278,285) = 79230

Properties of LCM 278 and 285

(i) The LCM of 285 and 278 is associative

LCM of 278 and 285 = LCM of 285 and 278

Related Least Common Multiples of 278

Related Least Common Multiples of 285

Frequently Asked Questions on LCM of 278 and 285

1. What is the LCM of 278 and 285?

Answer: LCM of 278 and 285 is 79230.

2. What are the Factors of 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

3. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

4. How to Find the LCM of 278 and 285?

Answer:

Least Common Multiple of 278 and 285 = 79230

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 285

285 = 3 x 5 x 19

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

LCM = 79230 = 2 x 3 x 5 x 19 x 139

Step 4: Therefore, the least common multiple of 278 and 285 is 79230.