Least Common Multiple of 291 and 294

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 294 the smallest integer that is 28518 that is divisible by both numbers.

Least Common Multiple (LCM) of 291 and 294 is 28518.

LCM(291,294) = 28518

LCM of 291 and 294

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

LCM of:
and

Least Common Multiple of 291 and 294

LCM of 291 and 294 is 28518

Least common multiple can be found by multiplying the highest exponent prime factors of 291 and 294. First we will calculate the prime factors of 291 and 294.

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 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 294.

LCM(291,294) = 21×31×72×971
LCM(291,294) = 28518

Factors of 291

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

1, 3, 97, 291

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Least Common Multiple of 291 and 294 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 294, than apply into the LCM equation.

GCF(291,294) = 3
LCM(291,294) = ( 291 × 294) / 3
LCM(291,294) = 85554 / 3
LCM(291,294) = 28518

Properties of LCM 291 and 294

(i) The LCM of 294 and 291 is associative

LCM of 291 and 294 = LCM of 294 and 291

Related Least Common Multiples of 291

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 291 and 294

1. What is the LCM of 291 and 294?

Answer: LCM of 291 and 294 is 28518.

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 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the LCM of 291 and 294?

Answer:

Least Common Multiple of 291 and 294 = 28518

Step 1: Find the prime factorization of 291

291 = 3 x 97

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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

LCM = 28518 = 2 x 3 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 291 and 294 is 28518.