Least Common Multiple of 8307 and 8312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8307 and 8312 the smallest integer that is 69047784 that is divisible by both numbers.

Least Common Multiple (LCM) of 8307 and 8312 is 69047784.

LCM(8307,8312) = 69047784

LCM of 8307 and 8312

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

LCM of:
and

Least Common Multiple of 8307 and 8312

LCM of 8307 and 8312 is 69047784

Least common multiple can be found by multiplying the highest exponent prime factors of 8307 and 8312. First we will calculate the prime factors of 8307 and 8312.

Prime Factorization of 8307


3 8307
3 2769
13 923
71 71
1

Prime factors of 8307 are 3, 13,71. Prime factorization of 8307 in exponential form is:

8307 = 32×131×711

Prime Factorization of 8312


2 8312
2 4156
2 2078
1039 1039
1

Prime factors of 8312 are 2,1039. Prime factorization of 8312 in exponential form is:

8312 = 23×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 8307 and 8312.

LCM(8307,8312) = 23×32×131×711×10391
LCM(8307,8312) = 69047784

Factors of 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

Factors of 8312

List of positive integer factors of 8312 that divides 8312 without a remainder.

1, 2, 4, 8, 1039, 2078, 4156, 8312

Least Common Multiple of 8307 and 8312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8307 and 8312, than apply into the LCM equation.

GCF(8307,8312) = 1
LCM(8307,8312) = ( 8307 × 8312) / 1
LCM(8307,8312) = 69047784 / 1
LCM(8307,8312) = 69047784

Properties of LCM 8307 and 8312

(i) The LCM of 8312 and 8307 is associative

LCM of 8307 and 8312 = LCM of 8312 and 8307

Related Least Common Multiples of 8307

Related Least Common Multiples of 8312

Frequently Asked Questions on LCM of 8307 and 8312

1. What is the LCM of 8307 and 8312?

Answer: LCM of 8307 and 8312 is 69047784.

2. What are the Factors of 8307?

Answer: Factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307. There are 12 integers that are factors of 8307. The greatest factor of 8307 is 8307.

3. What are the Factors of 8312?

Answer: Factors of 8312 are 1, 2, 4, 8, 1039, 2078, 4156, 8312. There are 8 integers that are factors of 8312. The greatest factor of 8312 is 8312.

4. How to Find the LCM of 8307 and 8312?

Answer:

Least Common Multiple of 8307 and 8312 = 69047784

Step 1: Find the prime factorization of 8307

8307 = 3 x 3 x 13 x 71

Step 2: Find the prime factorization of 8312

8312 = 2 x 2 x 2 x 1039

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

LCM = 69047784 = 2 x 2 x 2 x 3 x 3 x 13 x 71 x 1039

Step 4: Therefore, the least common multiple of 8307 and 8312 is 69047784.