Least Common Multiple of 291 and 299

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 299 the smallest integer that is 87009 that is divisible by both numbers.

Least Common Multiple (LCM) of 291 and 299 is 87009.

LCM(291,299) = 87009

LCM of 291 and 299

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

LCM of:
and

Least Common Multiple of 291 and 299

LCM of 291 and 299 is 87009

Least common multiple can be found by multiplying the highest exponent prime factors of 291 and 299. First we will calculate the prime factors of 291 and 299.

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 299


13 299
23 23
1

Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:

299 = 131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 299.

LCM(291,299) = 31×131×231×971
LCM(291,299) = 87009

Factors of 291

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

1, 3, 97, 291

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Least Common Multiple of 291 and 299 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 299, than apply into the LCM equation.

GCF(291,299) = 1
LCM(291,299) = ( 291 × 299) / 1
LCM(291,299) = 87009 / 1
LCM(291,299) = 87009

Properties of LCM 291 and 299

(i) The LCM of 299 and 291 is associative

LCM of 291 and 299 = LCM of 299 and 291

Related Least Common Multiples of 291

Related Least Common Multiples of 299

Frequently Asked Questions on LCM of 291 and 299

1. What is the LCM of 291 and 299?

Answer: LCM of 291 and 299 is 87009.

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 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

4. How to Find the LCM of 291 and 299?

Answer:

Least Common Multiple of 291 and 299 = 87009

Step 1: Find the prime factorization of 291

291 = 3 x 97

Step 2: Find the prime factorization of 299

299 = 13 x 23

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

LCM = 87009 = 3 x 13 x 23 x 97

Step 4: Therefore, the least common multiple of 291 and 299 is 87009.