Least Common Multiple of 306 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 306 and 307 the smallest integer that is 93942 that is divisible by both numbers.

Least Common Multiple (LCM) of 306 and 307 is 93942.

LCM(306,307) = 93942

LCM of 306 and 307

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

LCM of:
and

Least Common Multiple of 306 and 307

LCM of 306 and 307 is 93942

Least common multiple can be found by multiplying the highest exponent prime factors of 306 and 307. First we will calculate the prime factors of 306 and 307.

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

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 306 and 307.

LCM(306,307) = 21×32×171×3071
LCM(306,307) = 93942

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

Factors of 307

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

1, 307

Least Common Multiple of 306 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 306 and 307, than apply into the LCM equation.

GCF(306,307) = 1
LCM(306,307) = ( 306 × 307) / 1
LCM(306,307) = 93942 / 1
LCM(306,307) = 93942

Properties of LCM 306 and 307

(i) The LCM of 307 and 306 is associative

LCM of 306 and 307 = LCM of 307 and 306

Related Least Common Multiples of 306

Related Least Common Multiples of 307

Frequently Asked Questions on LCM of 306 and 307

1. What is the LCM of 306 and 307?

Answer: LCM of 306 and 307 is 93942.

2. 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.

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 306 and 307?

Answer:

Least Common Multiple of 306 and 307 = 93942

Step 1: Find the prime factorization of 306

306 = 2 x 3 x 3 x 17

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 = 93942 = 2 x 3 x 3 x 17 x 307

Step 4: Therefore, the least common multiple of 306 and 307 is 93942.