Least Common Multiple of 291 and 296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 291 and 296 the smallest integer that is 86136 that is divisible by both numbers.

Least Common Multiple (LCM) of 291 and 296 is 86136.

LCM(291,296) = 86136

LCM of 291 and 296

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

LCM of:
and

Least Common Multiple of 291 and 296

LCM of 291 and 296 is 86136

Least common multiple can be found by multiplying the highest exponent prime factors of 291 and 296. First we will calculate the prime factors of 291 and 296.

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

Prime Factorization of 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 296.

LCM(291,296) = 23×31×371×971
LCM(291,296) = 86136

Factors of 291

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

1, 3, 97, 291

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Least Common Multiple of 291 and 296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 291 and 296, than apply into the LCM equation.

GCF(291,296) = 1
LCM(291,296) = ( 291 × 296) / 1
LCM(291,296) = 86136 / 1
LCM(291,296) = 86136

Properties of LCM 291 and 296

(i) The LCM of 296 and 291 is associative

LCM of 291 and 296 = LCM of 296 and 291

Related Least Common Multiples of 291

Related Least Common Multiples of 296

Frequently Asked Questions on LCM of 291 and 296

1. What is the LCM of 291 and 296?

Answer: LCM of 291 and 296 is 86136.

2. 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.

3. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

4. How to Find the LCM of 291 and 296?

Answer:

Least Common Multiple of 291 and 296 = 86136

Step 1: Find the prime factorization of 291

291 = 3 x 97

Step 2: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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

LCM = 86136 = 2 x 2 x 2 x 3 x 37 x 97

Step 4: Therefore, the least common multiple of 291 and 296 is 86136.