Least Common Multiple of 301 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 301 and 304 the smallest integer that is 91504 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 304 is 91504.

LCM(301,304) = 91504

LCM of 301 and 304

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

LCM of:
and

Least Common Multiple of 301 and 304

LCM of 301 and 304 is 91504

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 304. First we will calculate the prime factors of 301 and 304.

Prime Factorization of 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

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 301 and 304.

LCM(301,304) = 24×71×191×431
LCM(301,304) = 91504

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 301 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 301 and 304, than apply into the LCM equation.

GCF(301,304) = 1
LCM(301,304) = ( 301 × 304) / 1
LCM(301,304) = 91504 / 1
LCM(301,304) = 91504

Properties of LCM 301 and 304

(i) The LCM of 304 and 301 is associative

LCM of 301 and 304 = LCM of 304 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 301 and 304

1. What is the LCM of 301 and 304?

Answer: LCM of 301 and 304 is 91504.

2. What are the Factors of 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

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 301 and 304?

Answer:

Least Common Multiple of 301 and 304 = 91504

Step 1: Find the prime factorization of 301

301 = 7 x 43

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 = 91504 = 2 x 2 x 2 x 2 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 301 and 304 is 91504.