Least Common Multiple of 301 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 301 and 306 the smallest integer that is 92106 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 306 is 92106.

LCM(301,306) = 92106

LCM of 301 and 306

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

LCM of:
and

Least Common Multiple of 301 and 306

LCM of 301 and 306 is 92106

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 306. First we will calculate the prime factors of 301 and 306.

Prime Factorization of 301


7 301
43 43
1

Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:

301 = 71×431

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 301 and 306.

LCM(301,306) = 21×32×71×171×431
LCM(301,306) = 92106

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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 301 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 301 and 306, than apply into the LCM equation.

GCF(301,306) = 1
LCM(301,306) = ( 301 × 306) / 1
LCM(301,306) = 92106 / 1
LCM(301,306) = 92106

Properties of LCM 301 and 306

(i) The LCM of 306 and 301 is associative

LCM of 301 and 306 = LCM of 306 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 306

Frequently Asked Questions on LCM of 301 and 306

1. What is the LCM of 301 and 306?

Answer: LCM of 301 and 306 is 92106.

2. What are the Factors of 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

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 301 and 306?

Answer:

Least Common Multiple of 301 and 306 = 92106

Step 1: Find the prime factorization of 301

301 = 7 x 43

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 = 92106 = 2 x 3 x 3 x 7 x 17 x 43

Step 4: Therefore, the least common multiple of 301 and 306 is 92106.