Least Common Multiple of 8312 and 8318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8312 and 8318 the smallest integer that is 34569608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8312 and 8318 is 34569608.

LCM(8312,8318) = 34569608

LCM of 8312 and 8318

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

LCM of:
and

Least Common Multiple of 8312 and 8318

LCM of 8312 and 8318 is 34569608

Least common multiple can be found by multiplying the highest exponent prime factors of 8312 and 8318. First we will calculate the prime factors of 8312 and 8318.

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

Prime Factorization of 8318


2 8318
4159 4159
1

Prime factors of 8318 are 2,4159. Prime factorization of 8318 in exponential form is:

8318 = 21×41591

Now multiplying the highest exponent prime factors to calculate the LCM of 8312 and 8318.

LCM(8312,8318) = 23×10391×41591
LCM(8312,8318) = 34569608

Factors of 8312

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

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

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1, 2, 4159, 8318

Least Common Multiple of 8312 and 8318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8312 and 8318, than apply into the LCM equation.

GCF(8312,8318) = 2
LCM(8312,8318) = ( 8312 × 8318) / 2
LCM(8312,8318) = 69139216 / 2
LCM(8312,8318) = 34569608

Properties of LCM 8312 and 8318

(i) The LCM of 8318 and 8312 is associative

LCM of 8312 and 8318 = LCM of 8318 and 8312

Related Least Common Multiples of 8312

Related Least Common Multiples of 8318

Frequently Asked Questions on LCM of 8312 and 8318

1. What is the LCM of 8312 and 8318?

Answer: LCM of 8312 and 8318 is 34569608.

2. 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.

3. What are the Factors of 8318?

Answer: Factors of 8318 are 1, 2, 4159, 8318. There are 4 integers that are factors of 8318. The greatest factor of 8318 is 8318.

4. How to Find the LCM of 8312 and 8318?

Answer:

Least Common Multiple of 8312 and 8318 = 34569608

Step 1: Find the prime factorization of 8312

8312 = 2 x 2 x 2 x 1039

Step 2: Find the prime factorization of 8318

8318 = 2 x 4159

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

LCM = 34569608 = 2 x 2 x 2 x 1039 x 4159

Step 4: Therefore, the least common multiple of 8312 and 8318 is 34569608.