Least Common Multiple of 302 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 302 and 304 the smallest integer that is 45904 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 304 is 45904.

LCM(302,304) = 45904

LCM of 302 and 304

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

LCM of:
and

Least Common Multiple of 302 and 304

LCM of 302 and 304 is 45904

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 304. First we will calculate the prime factors of 302 and 304.

Prime Factorization of 302


2 302
151 151
1

Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:

302 = 21×1511

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 302 and 304.

LCM(302,304) = 24×191×1511
LCM(302,304) = 45904

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 302 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 302 and 304, than apply into the LCM equation.

GCF(302,304) = 2
LCM(302,304) = ( 302 × 304) / 2
LCM(302,304) = 91808 / 2
LCM(302,304) = 45904

Properties of LCM 302 and 304

(i) The LCM of 304 and 302 is associative

LCM of 302 and 304 = LCM of 304 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 304

Frequently Asked Questions on LCM of 302 and 304

1. What is the LCM of 302 and 304?

Answer: LCM of 302 and 304 is 45904.

2. What are the Factors of 302?

Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.

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 302 and 304?

Answer:

Least Common Multiple of 302 and 304 = 45904

Step 1: Find the prime factorization of 302

302 = 2 x 151

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 = 45904 = 2 x 2 x 2 x 2 x 19 x 151

Step 4: Therefore, the least common multiple of 302 and 304 is 45904.