Least Common Multiple of 297 and 303

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 303 the smallest integer that is 29997 that is divisible by both numbers.

Least Common Multiple (LCM) of 297 and 303 is 29997.

LCM(297,303) = 29997

LCM of 297 and 303

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

LCM of:
and

Least Common Multiple of 297 and 303

LCM of 297 and 303 is 29997

Least common multiple can be found by multiplying the highest exponent prime factors of 297 and 303. First we will calculate the prime factors of 297 and 303.

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 303


3 303
101 101
1

Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:

303 = 31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 297 and 303.

LCM(297,303) = 33×111×1011
LCM(297,303) = 29997

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 303

List of positive integer factors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Least Common Multiple of 297 and 303 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 303, than apply into the LCM equation.

GCF(297,303) = 3
LCM(297,303) = ( 297 × 303) / 3
LCM(297,303) = 89991 / 3
LCM(297,303) = 29997

Properties of LCM 297 and 303

(i) The LCM of 303 and 297 is associative

LCM of 297 and 303 = LCM of 303 and 297

Related Least Common Multiples of 297

Related Least Common Multiples of 303

Frequently Asked Questions on LCM of 297 and 303

1. What is the LCM of 297 and 303?

Answer: LCM of 297 and 303 is 29997.

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 303?

Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.

4. How to Find the LCM of 297 and 303?

Answer:

Least Common Multiple of 297 and 303 = 29997

Step 1: Find the prime factorization of 297

297 = 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 303

303 = 3 x 101

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

LCM = 29997 = 3 x 3 x 3 x 11 x 101

Step 4: Therefore, the least common multiple of 297 and 303 is 29997.