Least Common Multiple of 301 and 309

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 309 the smallest integer that is 93009 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 309 is 93009.

LCM(301,309) = 93009

LCM of 301 and 309

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

LCM of:
and

Least Common Multiple of 301 and 309

LCM of 301 and 309 is 93009

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 309. First we will calculate the prime factors of 301 and 309.

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 309


3 309
103 103
1

Prime factors of 309 are 3,103. Prime factorization of 309 in exponential form is:

309 = 31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 301 and 309.

LCM(301,309) = 31×71×431×1031
LCM(301,309) = 93009

Factors of 301

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

1, 7, 43, 301

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Least Common Multiple of 301 and 309 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 309, than apply into the LCM equation.

GCF(301,309) = 1
LCM(301,309) = ( 301 × 309) / 1
LCM(301,309) = 93009 / 1
LCM(301,309) = 93009

Properties of LCM 301 and 309

(i) The LCM of 309 and 301 is associative

LCM of 301 and 309 = LCM of 309 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 309

Frequently Asked Questions on LCM of 301 and 309

1. What is the LCM of 301 and 309?

Answer: LCM of 301 and 309 is 93009.

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 309?

Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.

4. How to Find the LCM of 301 and 309?

Answer:

Least Common Multiple of 301 and 309 = 93009

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 309

309 = 3 x 103

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

LCM = 93009 = 3 x 7 x 43 x 103

Step 4: Therefore, the least common multiple of 301 and 309 is 93009.