Least Common Multiple of 8314 and 8319

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 8319 the smallest integer that is 69164166 that is divisible by both numbers.

Least Common Multiple (LCM) of 8314 and 8319 is 69164166.

LCM(8314,8319) = 69164166

LCM of 8314 and 8319

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

LCM of:
and

Least Common Multiple of 8314 and 8319

LCM of 8314 and 8319 is 69164166

Least common multiple can be found by multiplying the highest exponent prime factors of 8314 and 8319. First we will calculate the prime factors of 8314 and 8319.

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 8319


3 8319
47 2773
59 59
1

Prime factors of 8319 are 3, 47,59. Prime factorization of 8319 in exponential form is:

8319 = 31×471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8314 and 8319.

LCM(8314,8319) = 21×31×471×591×41571
LCM(8314,8319) = 69164166

Factors of 8314

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

1, 2, 4157, 8314

Factors of 8319

List of positive integer factors of 8319 that divides 8319 without a remainder.

1, 3, 47, 59, 141, 177, 2773, 8319

Least Common Multiple of 8314 and 8319 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 8319, than apply into the LCM equation.

GCF(8314,8319) = 1
LCM(8314,8319) = ( 8314 × 8319) / 1
LCM(8314,8319) = 69164166 / 1
LCM(8314,8319) = 69164166

Properties of LCM 8314 and 8319

(i) The LCM of 8319 and 8314 is associative

LCM of 8314 and 8319 = LCM of 8319 and 8314

Related Least Common Multiples of 8314

Related Least Common Multiples of 8319

Frequently Asked Questions on LCM of 8314 and 8319

1. What is the LCM of 8314 and 8319?

Answer: LCM of 8314 and 8319 is 69164166.

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 8319?

Answer: Factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319. There are 8 integers that are factors of 8319. The greatest factor of 8319 is 8319.

4. How to Find the LCM of 8314 and 8319?

Answer:

Least Common Multiple of 8314 and 8319 = 69164166

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8319

8319 = 3 x 47 x 59

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

LCM = 69164166 = 2 x 3 x 47 x 59 x 4157

Step 4: Therefore, the least common multiple of 8314 and 8319 is 69164166.