Least Common Multiple of 283 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 283 and 291 the smallest integer that is 82353 that is divisible by both numbers.

Least Common Multiple (LCM) of 283 and 291 is 82353.

LCM(283,291) = 82353

LCM of 283 and 291

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

LCM of:
and

Least Common Multiple of 283 and 291

LCM of 283 and 291 is 82353

Least common multiple can be found by multiplying the highest exponent prime factors of 283 and 291. First we will calculate the prime factors of 283 and 291.

Prime Factorization of 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

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 283 and 291.

LCM(283,291) = 31×971×2831
LCM(283,291) = 82353

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1, 283

Factors of 291

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

1, 3, 97, 291

Least Common Multiple of 283 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 283 and 291, than apply into the LCM equation.

GCF(283,291) = 1
LCM(283,291) = ( 283 × 291) / 1
LCM(283,291) = 82353 / 1
LCM(283,291) = 82353

Properties of LCM 283 and 291

(i) The LCM of 291 and 283 is associative

LCM of 283 and 291 = LCM of 291 and 283

Related Least Common Multiples of 283

Related Least Common Multiples of 291

Frequently Asked Questions on LCM of 283 and 291

1. What is the LCM of 283 and 291?

Answer: LCM of 283 and 291 is 82353.

2. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

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 283 and 291?

Answer:

Least Common Multiple of 283 and 291 = 82353

Step 1: Find the prime factorization of 283

283 = 283

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 = 82353 = 3 x 97 x 283

Step 4: Therefore, the least common multiple of 283 and 291 is 82353.