Least Common Multiple of 295 and 297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 295 and 297 the smallest integer that is 87615 that is divisible by both numbers.

Least Common Multiple (LCM) of 295 and 297 is 87615.

LCM(295,297) = 87615

LCM of 295 and 297

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

LCM of:
and

Least Common Multiple of 295 and 297

LCM of 295 and 297 is 87615

Least common multiple can be found by multiplying the highest exponent prime factors of 295 and 297. First we will calculate the prime factors of 295 and 297.

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

Prime Factorization of 297


3 297
3 99
3 33
11 11
1

Prime factors of 297 are 3,11. Prime factorization of 297 in exponential form is:

297 = 33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 295 and 297.

LCM(295,297) = 33×51×111×591
LCM(295,297) = 87615

Factors of 295

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

1, 5, 59, 295

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Least Common Multiple of 295 and 297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 295 and 297, than apply into the LCM equation.

GCF(295,297) = 1
LCM(295,297) = ( 295 × 297) / 1
LCM(295,297) = 87615 / 1
LCM(295,297) = 87615

Properties of LCM 295 and 297

(i) The LCM of 297 and 295 is associative

LCM of 295 and 297 = LCM of 297 and 295

Related Least Common Multiples of 295

Related Least Common Multiples of 297

Frequently Asked Questions on LCM of 295 and 297

1. What is the LCM of 295 and 297?

Answer: LCM of 295 and 297 is 87615.

2. 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.

3. What are the Factors of 297?

Answer: Factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297. There are 8 integers that are factors of 297. The greatest factor of 297 is 297.

4. How to Find the LCM of 295 and 297?

Answer:

Least Common Multiple of 295 and 297 = 87615

Step 1: Find the prime factorization of 295

295 = 5 x 59

Step 2: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

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

LCM = 87615 = 3 x 3 x 3 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 295 and 297 is 87615.