Least Common Multiple of 296 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 296 and 304 the smallest integer that is 11248 that is divisible by both numbers.

Least Common Multiple (LCM) of 296 and 304 is 11248.

LCM(296,304) = 11248

LCM of 296 and 304

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

LCM of:
and

Least Common Multiple of 296 and 304

LCM of 296 and 304 is 11248

Least common multiple can be found by multiplying the highest exponent prime factors of 296 and 304. First we will calculate the prime factors of 296 and 304.

Prime Factorization of 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

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 296 and 304.

LCM(296,304) = 24×191×371
LCM(296,304) = 11248

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 296 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 296 and 304, than apply into the LCM equation.

GCF(296,304) = 8
LCM(296,304) = ( 296 × 304) / 8
LCM(296,304) = 89984 / 8
LCM(296,304) = 11248

Properties of LCM 296 and 304

(i) The LCM of 304 and 296 is associative

LCM of 296 and 304 = LCM of 304 and 296

Related Least Common Multiples of 296

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 296 and 304

1. What is the LCM of 296 and 304?

Answer: LCM of 296 and 304 is 11248.

2. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

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 296 and 304?

Answer:

Least Common Multiple of 296 and 304 = 11248

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

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 = 11248 = 2 x 2 x 2 x 2 x 19 x 37

Step 4: Therefore, the least common multiple of 296 and 304 is 11248.