Least Common Multiple of 307 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 307 and 312 the smallest integer that is 95784 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 312 is 95784.

LCM(307,312) = 95784

LCM of 307 and 312

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

LCM of:
and

Least Common Multiple of 307 and 312

LCM of 307 and 312 is 95784

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 312. First we will calculate the prime factors of 307 and 312.

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 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 307 and 312.

LCM(307,312) = 23×31×131×3071
LCM(307,312) = 95784

Factors of 307

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

1, 307

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 307 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 307 and 312, than apply into the LCM equation.

GCF(307,312) = 1
LCM(307,312) = ( 307 × 312) / 1
LCM(307,312) = 95784 / 1
LCM(307,312) = 95784

Properties of LCM 307 and 312

(i) The LCM of 312 and 307 is associative

LCM of 307 and 312 = LCM of 312 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 312

Frequently Asked Questions on LCM of 307 and 312

1. What is the LCM of 307 and 312?

Answer: LCM of 307 and 312 is 95784.

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 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 307 and 312?

Answer:

Least Common Multiple of 307 and 312 = 95784

Step 1: Find the prime factorization of 307

307 = 307

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 = 95784 = 2 x 2 x 2 x 3 x 13 x 307

Step 4: Therefore, the least common multiple of 307 and 312 is 95784.