Least Common Multiple of 301 and 308

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 308 the smallest integer that is 13244 that is divisible by both numbers.

Least Common Multiple (LCM) of 301 and 308 is 13244.

LCM(301,308) = 13244

LCM of 301 and 308

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

LCM of:
and

Least Common Multiple of 301 and 308

LCM of 301 and 308 is 13244

Least common multiple can be found by multiplying the highest exponent prime factors of 301 and 308. First we will calculate the prime factors of 301 and 308.

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 308


2 308
2 154
7 77
11 11
1

Prime factors of 308 are 2, 7,11. Prime factorization of 308 in exponential form is:

308 = 22×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 301 and 308.

LCM(301,308) = 22×71×111×431
LCM(301,308) = 13244

Factors of 301

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

1, 7, 43, 301

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Least Common Multiple of 301 and 308 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 308, than apply into the LCM equation.

GCF(301,308) = 7
LCM(301,308) = ( 301 × 308) / 7
LCM(301,308) = 92708 / 7
LCM(301,308) = 13244

Properties of LCM 301 and 308

(i) The LCM of 308 and 301 is associative

LCM of 301 and 308 = LCM of 308 and 301

Related Least Common Multiples of 301

Related Least Common Multiples of 308

Frequently Asked Questions on LCM of 301 and 308

1. What is the LCM of 301 and 308?

Answer: LCM of 301 and 308 is 13244.

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 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

4. How to Find the LCM of 301 and 308?

Answer:

Least Common Multiple of 301 and 308 = 13244

Step 1: Find the prime factorization of 301

301 = 7 x 43

Step 2: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

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

LCM = 13244 = 2 x 2 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 301 and 308 is 13244.