Least Common Multiple of 8314 and 8322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8314 and 8322 the smallest integer that is 34594554 that is divisible by both numbers.

Least Common Multiple (LCM) of 8314 and 8322 is 34594554.

LCM(8314,8322) = 34594554

LCM of 8314 and 8322

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

LCM of:
and

Least Common Multiple of 8314 and 8322

LCM of 8314 and 8322 is 34594554

Least common multiple can be found by multiplying the highest exponent prime factors of 8314 and 8322. First we will calculate the prime factors of 8314 and 8322.

Prime Factorization of 8314


2 8314
4157 4157
1

Prime factors of 8314 are 2,4157. Prime factorization of 8314 in exponential form is:

8314 = 21×41571

Prime Factorization of 8322


2 8322
3 4161
19 1387
73 73
1

Prime factors of 8322 are 2, 3, 19,73. Prime factorization of 8322 in exponential form is:

8322 = 21×31×191×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8314 and 8322.

LCM(8314,8322) = 21×31×191×731×41571
LCM(8314,8322) = 34594554

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1, 2, 4157, 8314

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322

Least Common Multiple of 8314 and 8322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8314 and 8322, than apply into the LCM equation.

GCF(8314,8322) = 2
LCM(8314,8322) = ( 8314 × 8322) / 2
LCM(8314,8322) = 69189108 / 2
LCM(8314,8322) = 34594554

Properties of LCM 8314 and 8322

(i) The LCM of 8322 and 8314 is associative

LCM of 8314 and 8322 = LCM of 8322 and 8314

Related Least Common Multiples of 8314

Related Least Common Multiples of 8322

Frequently Asked Questions on LCM of 8314 and 8322

1. What is the LCM of 8314 and 8322?

Answer: LCM of 8314 and 8322 is 34594554.

2. What are the Factors of 8314?

Answer: Factors of 8314 are 1, 2, 4157, 8314. There are 4 integers that are factors of 8314. The greatest factor of 8314 is 8314.

3. What are the Factors of 8322?

Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.

4. How to Find the LCM of 8314 and 8322?

Answer:

Least Common Multiple of 8314 and 8322 = 34594554

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

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

LCM = 34594554 = 2 x 3 x 19 x 73 x 4157

Step 4: Therefore, the least common multiple of 8314 and 8322 is 34594554.