Least Common Multiple of 297 and 304

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 304 the smallest integer that is 90288 that is divisible by both numbers.

Least Common Multiple (LCM) of 297 and 304 is 90288.

LCM(297,304) = 90288

LCM of 297 and 304

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

LCM of:
and

Least Common Multiple of 297 and 304

LCM of 297 and 304 is 90288

Least common multiple can be found by multiplying the highest exponent prime factors of 297 and 304. First we will calculate the prime factors of 297 and 304.

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 304


2 304
2 152
2 76
2 38
19 19
1

Prime factors of 304 are 2,19. Prime factorization of 304 in exponential form is:

304 = 24×191

Now multiplying the highest exponent prime factors to calculate the LCM of 297 and 304.

LCM(297,304) = 24×33×111×191
LCM(297,304) = 90288

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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Least Common Multiple of 297 and 304 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 304, than apply into the LCM equation.

GCF(297,304) = 1
LCM(297,304) = ( 297 × 304) / 1
LCM(297,304) = 90288 / 1
LCM(297,304) = 90288

Properties of LCM 297 and 304

(i) The LCM of 304 and 297 is associative

LCM of 297 and 304 = LCM of 304 and 297

Related Least Common Multiples of 297

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 297 and 304

1. What is the LCM of 297 and 304?

Answer: LCM of 297 and 304 is 90288.

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 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

4. How to Find the LCM of 297 and 304?

Answer:

Least Common Multiple of 297 and 304 = 90288

Step 1: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

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

LCM = 90288 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 19

Step 4: Therefore, the least common multiple of 297 and 304 is 90288.