Least Common Multiple of 302 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 302 and 308 the smallest integer that is 46508 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 308 is 46508.

LCM(302,308) = 46508

LCM of 302 and 308

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

LCM of:
and

Least Common Multiple of 302 and 308

LCM of 302 and 308 is 46508

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 308. First we will calculate the prime factors of 302 and 308.

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 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 302 and 308.

LCM(302,308) = 22×71×111×1511
LCM(302,308) = 46508

Factors of 302

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

1, 2, 151, 302

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 302 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 302 and 308, than apply into the LCM equation.

GCF(302,308) = 2
LCM(302,308) = ( 302 × 308) / 2
LCM(302,308) = 93016 / 2
LCM(302,308) = 46508

Properties of LCM 302 and 308

(i) The LCM of 308 and 302 is associative

LCM of 302 and 308 = LCM of 308 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 308

Frequently Asked Questions on LCM of 302 and 308

1. What is the LCM of 302 and 308?

Answer: LCM of 302 and 308 is 46508.

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 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 302 and 308?

Answer:

Least Common Multiple of 302 and 308 = 46508

Step 1: Find the prime factorization of 302

302 = 2 x 151

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 = 46508 = 2 x 2 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 302 and 308 is 46508.