Least Common Multiple of 307 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 307 and 313 the smallest integer that is 96091 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 313 is 96091.

LCM(307,313) = 96091

LCM of 307 and 313

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

LCM of:
and

Least Common Multiple of 307 and 313

LCM of 307 and 313 is 96091

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 313. First we will calculate the prime factors of 307 and 313.

Prime Factorization of 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

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 307 and 313.

LCM(307,313) = 3071×3131
LCM(307,313) = 96091

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Factors of 313

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

1, 313

Least Common Multiple of 307 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 307 and 313, than apply into the LCM equation.

GCF(307,313) = 1
LCM(307,313) = ( 307 × 313) / 1
LCM(307,313) = 96091 / 1
LCM(307,313) = 96091

Properties of LCM 307 and 313

(i) The LCM of 313 and 307 is associative

LCM of 307 and 313 = LCM of 313 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 313

Frequently Asked Questions on LCM of 307 and 313

1. What is the LCM of 307 and 313?

Answer: LCM of 307 and 313 is 96091.

2. What are the Factors of 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

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 307 and 313?

Answer:

Least Common Multiple of 307 and 313 = 96091

Step 1: Find the prime factorization of 307

307 = 307

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 = 96091 = 307 x 313

Step 4: Therefore, the least common multiple of 307 and 313 is 96091.