Least Common Multiple of 8314 and 8321

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 8321 the smallest integer that is 69180794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8314 and 8321 is 69180794.

LCM(8314,8321) = 69180794

LCM of 8314 and 8321

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

LCM of:
and

Least Common Multiple of 8314 and 8321

LCM of 8314 and 8321 is 69180794

Least common multiple can be found by multiplying the highest exponent prime factors of 8314 and 8321. First we will calculate the prime factors of 8314 and 8321.

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 8321


53 8321
157 157
1

Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:

8321 = 531×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8314 and 8321.

LCM(8314,8321) = 21×531×1571×41571
LCM(8314,8321) = 69180794

Factors of 8314

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

1, 2, 4157, 8314

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1, 53, 157, 8321

Least Common Multiple of 8314 and 8321 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 8321, than apply into the LCM equation.

GCF(8314,8321) = 1
LCM(8314,8321) = ( 8314 × 8321) / 1
LCM(8314,8321) = 69180794 / 1
LCM(8314,8321) = 69180794

Properties of LCM 8314 and 8321

(i) The LCM of 8321 and 8314 is associative

LCM of 8314 and 8321 = LCM of 8321 and 8314

Related Least Common Multiples of 8314

Related Least Common Multiples of 8321

Frequently Asked Questions on LCM of 8314 and 8321

1. What is the LCM of 8314 and 8321?

Answer: LCM of 8314 and 8321 is 69180794.

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 8321?

Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.

4. How to Find the LCM of 8314 and 8321?

Answer:

Least Common Multiple of 8314 and 8321 = 69180794

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8321

8321 = 53 x 157

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

LCM = 69180794 = 2 x 53 x 157 x 4157

Step 4: Therefore, the least common multiple of 8314 and 8321 is 69180794.