Least Common Multiple of 305 and 313

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 313 the smallest integer that is 95465 that is divisible by both numbers.

Least Common Multiple (LCM) of 305 and 313 is 95465.

LCM(305,313) = 95465

LCM of 305 and 313

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

LCM of:
and

Least Common Multiple of 305 and 313

LCM of 305 and 313 is 95465

Least common multiple can be found by multiplying the highest exponent prime factors of 305 and 313. First we will calculate the prime factors of 305 and 313.

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 313


313 313
1

Prime factors of 313 are 313. Prime factorization of 313 in exponential form is:

313 = 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 305 and 313.

LCM(305,313) = 51×611×3131
LCM(305,313) = 95465

Factors of 305

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

1, 5, 61, 305

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1, 313

Least Common Multiple of 305 and 313 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 313, than apply into the LCM equation.

GCF(305,313) = 1
LCM(305,313) = ( 305 × 313) / 1
LCM(305,313) = 95465 / 1
LCM(305,313) = 95465

Properties of LCM 305 and 313

(i) The LCM of 313 and 305 is associative

LCM of 305 and 313 = LCM of 313 and 305

Related Least Common Multiples of 305

Related Least Common Multiples of 313

Frequently Asked Questions on LCM of 305 and 313

1. What is the LCM of 305 and 313?

Answer: LCM of 305 and 313 is 95465.

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 313?

Answer: Factors of 313 are 1, 313. There are 2 integers that are factors of 313. The greatest factor of 313 is 313.

4. How to Find the LCM of 305 and 313?

Answer:

Least Common Multiple of 305 and 313 = 95465

Step 1: Find the prime factorization of 305

305 = 5 x 61

Step 2: Find the prime factorization of 313

313 = 313

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

LCM = 95465 = 5 x 61 x 313

Step 4: Therefore, the least common multiple of 305 and 313 is 95465.