Least Common Multiple of 299 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 299 and 304 the smallest integer that is 90896 that is divisible by both numbers.

Least Common Multiple (LCM) of 299 and 304 is 90896.

LCM(299,304) = 90896

LCM of 299 and 304

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

LCM of:
and

Least Common Multiple of 299 and 304

LCM of 299 and 304 is 90896

Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 304. First we will calculate the prime factors of 299 and 304.

Prime Factorization of 299


13 299
23 23
1

Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:

299 = 131×231

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 299 and 304.

LCM(299,304) = 24×131×191×231
LCM(299,304) = 90896

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 299 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 299 and 304, than apply into the LCM equation.

GCF(299,304) = 1
LCM(299,304) = ( 299 × 304) / 1
LCM(299,304) = 90896 / 1
LCM(299,304) = 90896

Properties of LCM 299 and 304

(i) The LCM of 304 and 299 is associative

LCM of 299 and 304 = LCM of 304 and 299

Related Least Common Multiples of 299

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 299 and 304

1. What is the LCM of 299 and 304?

Answer: LCM of 299 and 304 is 90896.

2. What are the Factors of 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

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 299 and 304?

Answer:

Least Common Multiple of 299 and 304 = 90896

Step 1: Find the prime factorization of 299

299 = 13 x 23

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 = 90896 = 2 x 2 x 2 x 2 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 299 and 304 is 90896.