Least Common Multiple of 303 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 303 and 304 the smallest integer that is 92112 that is divisible by both numbers.

Least Common Multiple (LCM) of 303 and 304 is 92112.

LCM(303,304) = 92112

LCM of 303 and 304

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

LCM of:
and

Least Common Multiple of 303 and 304

LCM of 303 and 304 is 92112

Least common multiple can be found by multiplying the highest exponent prime factors of 303 and 304. First we will calculate the prime factors of 303 and 304.

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

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 303 and 304.

LCM(303,304) = 24×31×191×1011
LCM(303,304) = 92112

Factors of 303

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

1, 3, 101, 303

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 303 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 303 and 304, than apply into the LCM equation.

GCF(303,304) = 1
LCM(303,304) = ( 303 × 304) / 1
LCM(303,304) = 92112 / 1
LCM(303,304) = 92112

Properties of LCM 303 and 304

(i) The LCM of 304 and 303 is associative

LCM of 303 and 304 = LCM of 304 and 303

Related Least Common Multiples of 303

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 303 and 304

1. What is the LCM of 303 and 304?

Answer: LCM of 303 and 304 is 92112.

2. 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.

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 303 and 304?

Answer:

Least Common Multiple of 303 and 304 = 92112

Step 1: Find the prime factorization of 303

303 = 3 x 101

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 = 92112 = 2 x 2 x 2 x 2 x 3 x 19 x 101

Step 4: Therefore, the least common multiple of 303 and 304 is 92112.