Least Common Multiple of 307 and 311

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 311 the smallest integer that is 95477 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 311 is 95477.

LCM(307,311) = 95477

LCM of 307 and 311

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

LCM of:
and

Least Common Multiple of 307 and 311

LCM of 307 and 311 is 95477

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 311. First we will calculate the prime factors of 307 and 311.

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 311


311 311
1

Prime factors of 311 are 311. Prime factorization of 311 in exponential form is:

311 = 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 311.

LCM(307,311) = 3071×3111
LCM(307,311) = 95477

Factors of 307

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

1, 307

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1, 311

Least Common Multiple of 307 and 311 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 311, than apply into the LCM equation.

GCF(307,311) = 1
LCM(307,311) = ( 307 × 311) / 1
LCM(307,311) = 95477 / 1
LCM(307,311) = 95477

Properties of LCM 307 and 311

(i) The LCM of 311 and 307 is associative

LCM of 307 and 311 = LCM of 311 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 311

Frequently Asked Questions on LCM of 307 and 311

1. What is the LCM of 307 and 311?

Answer: LCM of 307 and 311 is 95477.

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 311?

Answer: Factors of 311 are 1, 311. There are 2 integers that are factors of 311. The greatest factor of 311 is 311.

4. How to Find the LCM of 307 and 311?

Answer:

Least Common Multiple of 307 and 311 = 95477

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 311

311 = 311

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

LCM = 95477 = 307 x 311

Step 4: Therefore, the least common multiple of 307 and 311 is 95477.