Least Common Multiple of 304 and 308

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 308 the smallest integer that is 23408 that is divisible by both numbers.

Least Common Multiple (LCM) of 304 and 308 is 23408.

LCM(304,308) = 23408

LCM of 304 and 308

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

LCM of:
and

Least Common Multiple of 304 and 308

LCM of 304 and 308 is 23408

Least common multiple can be found by multiplying the highest exponent prime factors of 304 and 308. First we will calculate the prime factors of 304 and 308.

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 308


2 308
2 154
7 77
11 11
1

Prime factors of 308 are 2, 7,11. Prime factorization of 308 in exponential form is:

308 = 22×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 304 and 308.

LCM(304,308) = 24×71×111×191
LCM(304,308) = 23408

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 308

List of positive integer factors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Least Common Multiple of 304 and 308 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 308, than apply into the LCM equation.

GCF(304,308) = 4
LCM(304,308) = ( 304 × 308) / 4
LCM(304,308) = 93632 / 4
LCM(304,308) = 23408

Properties of LCM 304 and 308

(i) The LCM of 308 and 304 is associative

LCM of 304 and 308 = LCM of 308 and 304

Related Least Common Multiples of 304

Related Least Common Multiples of 308

Frequently Asked Questions on LCM of 304 and 308

1. What is the LCM of 304 and 308?

Answer: LCM of 304 and 308 is 23408.

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 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

4. How to Find the LCM of 304 and 308?

Answer:

Least Common Multiple of 304 and 308 = 23408

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 308

308 = 2 x 2 x 7 x 11

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

LCM = 23408 = 2 x 2 x 2 x 2 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 304 and 308 is 23408.