Least Common Multiple of 307 and 314

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 314 the smallest integer that is 96398 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 314 is 96398.

LCM(307,314) = 96398

LCM of 307 and 314

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

LCM of:
and

Least Common Multiple of 307 and 314

LCM of 307 and 314 is 96398

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 314. First we will calculate the prime factors of 307 and 314.

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 314


2 314
157 157
1

Prime factors of 314 are 2,157. Prime factorization of 314 in exponential form is:

314 = 21×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 314.

LCM(307,314) = 21×1571×3071
LCM(307,314) = 96398

Factors of 307

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

1, 307

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Least Common Multiple of 307 and 314 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 314, than apply into the LCM equation.

GCF(307,314) = 1
LCM(307,314) = ( 307 × 314) / 1
LCM(307,314) = 96398 / 1
LCM(307,314) = 96398

Properties of LCM 307 and 314

(i) The LCM of 314 and 307 is associative

LCM of 307 and 314 = LCM of 314 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 314

Frequently Asked Questions on LCM of 307 and 314

1. What is the LCM of 307 and 314?

Answer: LCM of 307 and 314 is 96398.

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 314?

Answer: Factors of 314 are 1, 2, 157, 314. There are 4 integers that are factors of 314. The greatest factor of 314 is 314.

4. How to Find the LCM of 307 and 314?

Answer:

Least Common Multiple of 307 and 314 = 96398

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 314

314 = 2 x 157

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

LCM = 96398 = 2 x 157 x 307

Step 4: Therefore, the least common multiple of 307 and 314 is 96398.