Least Common Multiple of 304 and 307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 304 and 307 the smallest integer that is 93328 that is divisible by both numbers.

Least Common Multiple (LCM) of 304 and 307 is 93328.

LCM(304,307) = 93328

LCM of 304 and 307

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

LCM of:
and

Least Common Multiple of 304 and 307

LCM of 304 and 307 is 93328

Least common multiple can be found by multiplying the highest exponent prime factors of 304 and 307. First we will calculate the prime factors of 304 and 307.

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

Prime Factorization of 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 304 and 307.

LCM(304,307) = 24×191×3071
LCM(304,307) = 93328

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

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Least Common Multiple of 304 and 307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 304 and 307, than apply into the LCM equation.

GCF(304,307) = 1
LCM(304,307) = ( 304 × 307) / 1
LCM(304,307) = 93328 / 1
LCM(304,307) = 93328

Properties of LCM 304 and 307

(i) The LCM of 307 and 304 is associative

LCM of 304 and 307 = LCM of 307 and 304

Related Least Common Multiples of 304

Related Least Common Multiples of 307

Frequently Asked Questions on LCM of 304 and 307

1. What is the LCM of 304 and 307?

Answer: LCM of 304 and 307 is 93328.

2. 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.

3. What are the Factors of 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

4. How to Find the LCM of 304 and 307?

Answer:

Least Common Multiple of 304 and 307 = 93328

Step 1: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 307

307 = 307

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

LCM = 93328 = 2 x 2 x 2 x 2 x 19 x 307

Step 4: Therefore, the least common multiple of 304 and 307 is 93328.