Least Common Multiple of 8273 and 8278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8273 and 8278 the smallest integer that is 68483894 that is divisible by both numbers.

Least Common Multiple (LCM) of 8273 and 8278 is 68483894.

LCM(8273,8278) = 68483894

LCM of 8273 and 8278

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

LCM of:
and

Least Common Multiple of 8273 and 8278

LCM of 8273 and 8278 is 68483894

Least common multiple can be found by multiplying the highest exponent prime factors of 8273 and 8278. First we will calculate the prime factors of 8273 and 8278.

Prime Factorization of 8273


8273 8273
1

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 82731

Prime Factorization of 8278


2 8278
4139 4139
1

Prime factors of 8278 are 2,4139. Prime factorization of 8278 in exponential form is:

8278 = 21×41391

Now multiplying the highest exponent prime factors to calculate the LCM of 8273 and 8278.

LCM(8273,8278) = 21×41391×82731
LCM(8273,8278) = 68483894

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1, 8273

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1, 2, 4139, 8278

Least Common Multiple of 8273 and 8278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8273 and 8278, than apply into the LCM equation.

GCF(8273,8278) = 1
LCM(8273,8278) = ( 8273 × 8278) / 1
LCM(8273,8278) = 68483894 / 1
LCM(8273,8278) = 68483894

Properties of LCM 8273 and 8278

(i) The LCM of 8278 and 8273 is associative

LCM of 8273 and 8278 = LCM of 8278 and 8273

Related Least Common Multiples of 8273

Related Least Common Multiples of 8278

Frequently Asked Questions on LCM of 8273 and 8278

1. What is the LCM of 8273 and 8278?

Answer: LCM of 8273 and 8278 is 68483894.

2. What are the Factors of 8273?

Answer: Factors of 8273 are 1, 8273. There are 2 integers that are factors of 8273. The greatest factor of 8273 is 8273.

3. What are the Factors of 8278?

Answer: Factors of 8278 are 1, 2, 4139, 8278. There are 4 integers that are factors of 8278. The greatest factor of 8278 is 8278.

4. How to Find the LCM of 8273 and 8278?

Answer:

Least Common Multiple of 8273 and 8278 = 68483894

Step 1: Find the prime factorization of 8273

8273 = 8273

Step 2: Find the prime factorization of 8278

8278 = 2 x 4139

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

LCM = 68483894 = 2 x 4139 x 8273

Step 4: Therefore, the least common multiple of 8273 and 8278 is 68483894.