Least Common Multiple of 305 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 305 and 308 the smallest integer that is 93940 that is divisible by both numbers.

Least Common Multiple (LCM) of 305 and 308 is 93940.

LCM(305,308) = 93940

LCM of 305 and 308

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

LCM of:
and

Least Common Multiple of 305 and 308

LCM of 305 and 308 is 93940

Least common multiple can be found by multiplying the highest exponent prime factors of 305 and 308. First we will calculate the prime factors of 305 and 308.

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

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 305 and 308.

LCM(305,308) = 22×51×71×111×611
LCM(305,308) = 93940

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 305 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 305 and 308, than apply into the LCM equation.

GCF(305,308) = 1
LCM(305,308) = ( 305 × 308) / 1
LCM(305,308) = 93940 / 1
LCM(305,308) = 93940

Properties of LCM 305 and 308

(i) The LCM of 308 and 305 is associative

LCM of 305 and 308 = LCM of 308 and 305

Related Least Common Multiples of 305

Related Least Common Multiples of 308

Frequently Asked Questions on LCM of 305 and 308

1. What is the LCM of 305 and 308?

Answer: LCM of 305 and 308 is 93940.

2. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

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 305 and 308?

Answer:

Least Common Multiple of 305 and 308 = 93940

Step 1: Find the prime factorization of 305

305 = 5 x 61

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 = 93940 = 2 x 2 x 5 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 305 and 308 is 93940.