Least Common Multiple of 8294 and 8301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8294 and 8301 the smallest integer that is 68848494 that is divisible by both numbers.

Least Common Multiple (LCM) of 8294 and 8301 is 68848494.

LCM(8294,8301) = 68848494

LCM of 8294 and 8301

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

LCM of:
and

Least Common Multiple of 8294 and 8301

LCM of 8294 and 8301 is 68848494

Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8301. First we will calculate the prime factors of 8294 and 8301.

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

Prime Factorization of 8301


3 8301
2767 2767
1

Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:

8301 = 31×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8301.

LCM(8294,8301) = 21×31×111×131×291×27671
LCM(8294,8301) = 68848494

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

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1, 3, 2767, 8301

Least Common Multiple of 8294 and 8301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8294 and 8301, than apply into the LCM equation.

GCF(8294,8301) = 1
LCM(8294,8301) = ( 8294 × 8301) / 1
LCM(8294,8301) = 68848494 / 1
LCM(8294,8301) = 68848494

Properties of LCM 8294 and 8301

(i) The LCM of 8301 and 8294 is associative

LCM of 8294 and 8301 = LCM of 8301 and 8294

Related Least Common Multiples of 8294

Related Least Common Multiples of 8301

Frequently Asked Questions on LCM of 8294 and 8301

1. What is the LCM of 8294 and 8301?

Answer: LCM of 8294 and 8301 is 68848494.

2. 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.

3. What are the Factors of 8301?

Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.

4. How to Find the LCM of 8294 and 8301?

Answer:

Least Common Multiple of 8294 and 8301 = 68848494

Step 1: Find the prime factorization of 8294

8294 = 2 x 11 x 13 x 29

Step 2: Find the prime factorization of 8301

8301 = 3 x 2767

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

LCM = 68848494 = 2 x 3 x 11 x 13 x 29 x 2767

Step 4: Therefore, the least common multiple of 8294 and 8301 is 68848494.