Least Common Multiple of 302 and 307

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 307 the smallest integer that is 92714 that is divisible by both numbers.

Least Common Multiple (LCM) of 302 and 307 is 92714.

LCM(302,307) = 92714

LCM of 302 and 307

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

LCM of:
and

Least Common Multiple of 302 and 307

LCM of 302 and 307 is 92714

Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 307. First we will calculate the prime factors of 302 and 307.

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 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 302 and 307.

LCM(302,307) = 21×1511×3071
LCM(302,307) = 92714

Factors of 302

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

1, 2, 151, 302

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Least Common Multiple of 302 and 307 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 307, than apply into the LCM equation.

GCF(302,307) = 1
LCM(302,307) = ( 302 × 307) / 1
LCM(302,307) = 92714 / 1
LCM(302,307) = 92714

Properties of LCM 302 and 307

(i) The LCM of 307 and 302 is associative

LCM of 302 and 307 = LCM of 307 and 302

Related Least Common Multiples of 302

Related Least Common Multiples of 307

Frequently Asked Questions on LCM of 302 and 307

1. What is the LCM of 302 and 307?

Answer: LCM of 302 and 307 is 92714.

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 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

4. How to Find the LCM of 302 and 307?

Answer:

Least Common Multiple of 302 and 307 = 92714

Step 1: Find the prime factorization of 302

302 = 2 x 151

Step 2: Find the prime factorization of 307

307 = 307

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

LCM = 92714 = 2 x 151 x 307

Step 4: Therefore, the least common multiple of 302 and 307 is 92714.