Least Common Multiple of 8373 and 8379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8373 and 8379 the smallest integer that is 23385789 that is divisible by both numbers.

Least Common Multiple (LCM) of 8373 and 8379 is 23385789.

LCM(8373,8379) = 23385789

LCM of 8373 and 8379

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

LCM of:
and

Least Common Multiple of 8373 and 8379

LCM of 8373 and 8379 is 23385789

Least common multiple can be found by multiplying the highest exponent prime factors of 8373 and 8379. First we will calculate the prime factors of 8373 and 8379.

Prime Factorization of 8373


3 8373
2791 2791
1

Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:

8373 = 31×27911

Prime Factorization of 8379


3 8379
3 2793
7 931
7 133
19 19
1

Prime factors of 8379 are 3, 7,19. Prime factorization of 8379 in exponential form is:

8379 = 32×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8373 and 8379.

LCM(8373,8379) = 32×72×191×27911
LCM(8373,8379) = 23385789

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1, 3, 2791, 8373

Factors of 8379

List of positive integer factors of 8379 that divides 8379 without a remainder.

1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379

Least Common Multiple of 8373 and 8379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8373 and 8379, than apply into the LCM equation.

GCF(8373,8379) = 3
LCM(8373,8379) = ( 8373 × 8379) / 3
LCM(8373,8379) = 70157367 / 3
LCM(8373,8379) = 23385789

Properties of LCM 8373 and 8379

(i) The LCM of 8379 and 8373 is associative

LCM of 8373 and 8379 = LCM of 8379 and 8373

Related Least Common Multiples of 8373

Related Least Common Multiples of 8379

Frequently Asked Questions on LCM of 8373 and 8379

1. What is the LCM of 8373 and 8379?

Answer: LCM of 8373 and 8379 is 23385789.

2. What are the Factors of 8373?

Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.

3. What are the Factors of 8379?

Answer: Factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379. There are 18 integers that are factors of 8379. The greatest factor of 8379 is 8379.

4. How to Find the LCM of 8373 and 8379?

Answer:

Least Common Multiple of 8373 and 8379 = 23385789

Step 1: Find the prime factorization of 8373

8373 = 3 x 2791

Step 2: Find the prime factorization of 8379

8379 = 3 x 3 x 7 x 7 x 19

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

LCM = 23385789 = 3 x 3 x 7 x 7 x 19 x 2791

Step 4: Therefore, the least common multiple of 8373 and 8379 is 23385789.