Least Common Multiple of 285 and 290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 285 and 290 the smallest integer that is 16530 that is divisible by both numbers.

Least Common Multiple (LCM) of 285 and 290 is 16530.

LCM(285,290) = 16530

LCM of 285 and 290

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

LCM of:
and

Least Common Multiple of 285 and 290

LCM of 285 and 290 is 16530

Least common multiple can be found by multiplying the highest exponent prime factors of 285 and 290. First we will calculate the prime factors of 285 and 290.

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

Prime Factorization of 290


2 290
5 145
29 29
1

Prime factors of 290 are 2, 5,29. Prime factorization of 290 in exponential form is:

290 = 21×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 285 and 290.

LCM(285,290) = 21×31×51×191×291
LCM(285,290) = 16530

Factors of 285

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

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

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Least Common Multiple of 285 and 290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 285 and 290, than apply into the LCM equation.

GCF(285,290) = 5
LCM(285,290) = ( 285 × 290) / 5
LCM(285,290) = 82650 / 5
LCM(285,290) = 16530

Properties of LCM 285 and 290

(i) The LCM of 290 and 285 is associative

LCM of 285 and 290 = LCM of 290 and 285

Related Least Common Multiples of 285

Related Least Common Multiples of 290

Frequently Asked Questions on LCM of 285 and 290

1. What is the LCM of 285 and 290?

Answer: LCM of 285 and 290 is 16530.

2. 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.

3. What are the Factors of 290?

Answer: Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. There are 8 integers that are factors of 290. The greatest factor of 290 is 290.

4. How to Find the LCM of 285 and 290?

Answer:

Least Common Multiple of 285 and 290 = 16530

Step 1: Find the prime factorization of 285

285 = 3 x 5 x 19

Step 2: Find the prime factorization of 290

290 = 2 x 5 x 29

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

LCM = 16530 = 2 x 3 x 5 x 19 x 29

Step 4: Therefore, the least common multiple of 285 and 290 is 16530.