Least Common Multiple of 8290 and 8294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8290 and 8294 the smallest integer that is 34378630 that is divisible by both numbers.

Least Common Multiple (LCM) of 8290 and 8294 is 34378630.

LCM(8290,8294) = 34378630

LCM of 8290 and 8294

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

LCM of:
and

Least Common Multiple of 8290 and 8294

LCM of 8290 and 8294 is 34378630

Least common multiple can be found by multiplying the highest exponent prime factors of 8290 and 8294. First we will calculate the prime factors of 8290 and 8294.

Prime Factorization of 8290


2 8290
5 4145
829 829
1

Prime factors of 8290 are 2, 5,829. Prime factorization of 8290 in exponential form is:

8290 = 21×51×8291

Prime Factorization of 8294


2 8294
11 4147
13 377
29 29
1

Prime factors of 8294 are 2, 11, 13,29. Prime factorization of 8294 in exponential form is:

8294 = 21×111×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8290 and 8294.

LCM(8290,8294) = 21×51×111×131×291×8291
LCM(8290,8294) = 34378630

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1, 2, 5, 10, 829, 1658, 4145, 8290

Factors of 8294

List of positive integer factors of 8294 that divides 8294 without a remainder.

1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294

Least Common Multiple of 8290 and 8294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8290 and 8294, than apply into the LCM equation.

GCF(8290,8294) = 2
LCM(8290,8294) = ( 8290 × 8294) / 2
LCM(8290,8294) = 68757260 / 2
LCM(8290,8294) = 34378630

Properties of LCM 8290 and 8294

(i) The LCM of 8294 and 8290 is associative

LCM of 8290 and 8294 = LCM of 8294 and 8290

Related Least Common Multiples of 8290

Related Least Common Multiples of 8294

Frequently Asked Questions on LCM of 8290 and 8294

1. What is the LCM of 8290 and 8294?

Answer: LCM of 8290 and 8294 is 34378630.

2. What are the Factors of 8290?

Answer: Factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290. There are 8 integers that are factors of 8290. The greatest factor of 8290 is 8290.

3. What are the Factors of 8294?

Answer: Factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294. There are 16 integers that are factors of 8294. The greatest factor of 8294 is 8294.

4. How to Find the LCM of 8290 and 8294?

Answer:

Least Common Multiple of 8290 and 8294 = 34378630

Step 1: Find the prime factorization of 8290

8290 = 2 x 5 x 829

Step 2: Find the prime factorization of 8294

8294 = 2 x 11 x 13 x 29

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

LCM = 34378630 = 2 x 5 x 11 x 13 x 29 x 829

Step 4: Therefore, the least common multiple of 8290 and 8294 is 34378630.