Least Common Multiple of 297 and 305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 297 and 305 the smallest integer that is 90585 that is divisible by both numbers.

Least Common Multiple (LCM) of 297 and 305 is 90585.

LCM(297,305) = 90585

LCM of 297 and 305

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

LCM of:
and

Least Common Multiple of 297 and 305

LCM of 297 and 305 is 90585

Least common multiple can be found by multiplying the highest exponent prime factors of 297 and 305. First we will calculate the prime factors of 297 and 305.

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

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 297 and 305.

LCM(297,305) = 33×51×111×611
LCM(297,305) = 90585

Factors of 297

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

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

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Least Common Multiple of 297 and 305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 297 and 305, than apply into the LCM equation.

GCF(297,305) = 1
LCM(297,305) = ( 297 × 305) / 1
LCM(297,305) = 90585 / 1
LCM(297,305) = 90585

Properties of LCM 297 and 305

(i) The LCM of 305 and 297 is associative

LCM of 297 and 305 = LCM of 305 and 297

Related Least Common Multiples of 297

Related Least Common Multiples of 305

Frequently Asked Questions on LCM of 297 and 305

1. What is the LCM of 297 and 305?

Answer: LCM of 297 and 305 is 90585.

2. 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.

3. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

4. How to Find the LCM of 297 and 305?

Answer:

Least Common Multiple of 297 and 305 = 90585

Step 1: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 305

305 = 5 x 61

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

LCM = 90585 = 3 x 3 x 3 x 5 x 11 x 61

Step 4: Therefore, the least common multiple of 297 and 305 is 90585.