Least Common Multiple of 302 and 306

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 306 the smallest integer that is 46206 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 306 is 46206.

LCM(302,306) = 46206

LCM of 302 and 306

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

LCM of:
and

Least Common Multiple of 302 and 306

LCM of 302 and 306 is 46206

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 306. First we will calculate the prime factors of 302 and 306.

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 306


2 306
3 153
3 51
17 17
1

Prime factors of 306 are 2, 3,17. Prime factorization of 306 in exponential form is:

306 = 21×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 302 and 306.

LCM(302,306) = 21×32×171×1511
LCM(302,306) = 46206

Factors of 302

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

1, 2, 151, 302

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Least Common Multiple of 302 and 306 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 306, than apply into the LCM equation.

GCF(302,306) = 2
LCM(302,306) = ( 302 × 306) / 2
LCM(302,306) = 92412 / 2
LCM(302,306) = 46206

Properties of LCM 302 and 306

(i) The LCM of 306 and 302 is associative

LCM of 302 and 306 = LCM of 306 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 306

Frequently Asked Questions on LCM of 302 and 306

1. What is the LCM of 302 and 306?

Answer: LCM of 302 and 306 is 46206.

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 306?

Answer: Factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. There are 12 integers that are factors of 306. The greatest factor of 306 is 306.

4. How to Find the LCM of 302 and 306?

Answer:

Least Common Multiple of 302 and 306 = 46206

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 46206 = 2 x 3 x 3 x 17 x 151

Step 4: Therefore, the least common multiple of 302 and 306 is 46206.