Least Common Multiple of 286 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 286 and 290 the smallest integer that is 41470 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 290 is 41470.

LCM(286,290) = 41470

LCM of 286 and 290

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

LCM of:
and

Least Common Multiple of 286 and 290

LCM of 286 and 290 is 41470

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 290. First we will calculate the prime factors of 286 and 290.

Prime Factorization of 286


2 286
11 143
13 13
1

Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:

286 = 21×111×131

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 286 and 290.

LCM(286,290) = 21×51×111×131×291
LCM(286,290) = 41470

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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 286 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 286 and 290, than apply into the LCM equation.

GCF(286,290) = 2
LCM(286,290) = ( 286 × 290) / 2
LCM(286,290) = 82940 / 2
LCM(286,290) = 41470

Properties of LCM 286 and 290

(i) The LCM of 290 and 286 is associative

LCM of 286 and 290 = LCM of 290 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 290

Frequently Asked Questions on LCM of 286 and 290

1. What is the LCM of 286 and 290?

Answer: LCM of 286 and 290 is 41470.

2. What are the Factors of 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

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 286 and 290?

Answer:

Least Common Multiple of 286 and 290 = 41470

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

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 = 41470 = 2 x 5 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 286 and 290 is 41470.