Least Common Multiple of 291 and 295

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 295 the smallest integer that is 85845 that is divisible by both numbers.

Least Common Multiple (LCM) of 291 and 295 is 85845.

LCM(291,295) = 85845

LCM of 291 and 295

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

LCM of:
and

Least Common Multiple of 291 and 295

LCM of 291 and 295 is 85845

Least common multiple can be found by multiplying the highest exponent prime factors of 291 and 295. First we will calculate the prime factors of 291 and 295.

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 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 291 and 295.

LCM(291,295) = 31×51×591×971
LCM(291,295) = 85845

Factors of 291

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

1, 3, 97, 291

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 291 and 295 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 295, than apply into the LCM equation.

GCF(291,295) = 1
LCM(291,295) = ( 291 × 295) / 1
LCM(291,295) = 85845 / 1
LCM(291,295) = 85845

Properties of LCM 291 and 295

(i) The LCM of 295 and 291 is associative

LCM of 291 and 295 = LCM of 295 and 291

Related Least Common Multiples of 291

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 291 and 295

1. What is the LCM of 291 and 295?

Answer: LCM of 291 and 295 is 85845.

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 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 291 and 295?

Answer:

Least Common Multiple of 291 and 295 = 85845

Step 1: Find the prime factorization of 291

291 = 3 x 97

Step 2: Find the prime factorization of 295

295 = 5 x 59

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

LCM = 85845 = 3 x 5 x 59 x 97

Step 4: Therefore, the least common multiple of 291 and 295 is 85845.