Least Common Multiple of 311 and 312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311 and 312 the smallest integer that is 97032 that is divisible by both numbers.

Least Common Multiple (LCM) of 311 and 312 is 97032.

LCM(311,312) = 97032

LCM of 311 and 312

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

LCM of:
and

Least Common Multiple of 311 and 312

LCM of 311 and 312 is 97032

Least common multiple can be found by multiplying the highest exponent prime factors of 311 and 312. First we will calculate the prime factors of 311 and 312.

Prime Factorization of 311


311 311
1

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

311 = 3111

Prime Factorization of 312


2 312
2 156
2 78
3 39
13 13
1

Prime factors of 312 are 2, 3,13. Prime factorization of 312 in exponential form is:

312 = 23×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 311 and 312.

LCM(311,312) = 23×31×131×3111
LCM(311,312) = 97032

Factors of 311

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

1, 311

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Least Common Multiple of 311 and 312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311 and 312, than apply into the LCM equation.

GCF(311,312) = 1
LCM(311,312) = ( 311 × 312) / 1
LCM(311,312) = 97032 / 1
LCM(311,312) = 97032

Properties of LCM 311 and 312

(i) The LCM of 312 and 311 is associative

LCM of 311 and 312 = LCM of 312 and 311

Related Least Common Multiples of 311

Related Least Common Multiples of 312

Frequently Asked Questions on LCM of 311 and 312

1. What is the LCM of 311 and 312?

Answer: LCM of 311 and 312 is 97032.

2. 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.

3. What are the Factors of 312?

Answer: Factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312. There are 16 integers that are factors of 312. The greatest factor of 312 is 312.

4. How to Find the LCM of 311 and 312?

Answer:

Least Common Multiple of 311 and 312 = 97032

Step 1: Find the prime factorization of 311

311 = 311

Step 2: Find the prime factorization of 312

312 = 2 x 2 x 2 x 3 x 13

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

LCM = 97032 = 2 x 2 x 2 x 3 x 13 x 311

Step 4: Therefore, the least common multiple of 311 and 312 is 97032.