Least Common Multiple of 286 and 291

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 291 the smallest integer that is 83226 that is divisible by both numbers.

Least Common Multiple (LCM) of 286 and 291 is 83226.

LCM(286,291) = 83226

LCM of 286 and 291

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

LCM of:
and

Least Common Multiple of 286 and 291

LCM of 286 and 291 is 83226

Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 291. First we will calculate the prime factors of 286 and 291.

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 291


3 291
97 97
1

Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:

291 = 31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 286 and 291.

LCM(286,291) = 21×31×111×131×971
LCM(286,291) = 83226

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 291

List of positive integer factors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Least Common Multiple of 286 and 291 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 291, than apply into the LCM equation.

GCF(286,291) = 1
LCM(286,291) = ( 286 × 291) / 1
LCM(286,291) = 83226 / 1
LCM(286,291) = 83226

Properties of LCM 286 and 291

(i) The LCM of 291 and 286 is associative

LCM of 286 and 291 = LCM of 291 and 286

Related Least Common Multiples of 286

Related Least Common Multiples of 291

Frequently Asked Questions on LCM of 286 and 291

1. What is the LCM of 286 and 291?

Answer: LCM of 286 and 291 is 83226.

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 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the LCM of 286 and 291?

Answer:

Least Common Multiple of 286 and 291 = 83226

Step 1: Find the prime factorization of 286

286 = 2 x 11 x 13

Step 2: Find the prime factorization of 291

291 = 3 x 97

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

LCM = 83226 = 2 x 3 x 11 x 13 x 97

Step 4: Therefore, the least common multiple of 286 and 291 is 83226.