Least Common Multiple of 8373 and 8377

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 8377 the smallest integer that is 70140621 that is divisible by both numbers.

Least Common Multiple (LCM) of 8373 and 8377 is 70140621.

LCM(8373,8377) = 70140621

LCM of 8373 and 8377

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

LCM of:
and

Least Common Multiple of 8373 and 8377

LCM of 8373 and 8377 is 70140621

Least common multiple can be found by multiplying the highest exponent prime factors of 8373 and 8377. First we will calculate the prime factors of 8373 and 8377.

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 8377


8377 8377
1

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 8373 and 8377.

LCM(8373,8377) = 31×27911×83771
LCM(8373,8377) = 70140621

Factors of 8373

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

1, 3, 2791, 8373

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1, 8377

Least Common Multiple of 8373 and 8377 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 8377, than apply into the LCM equation.

GCF(8373,8377) = 1
LCM(8373,8377) = ( 8373 × 8377) / 1
LCM(8373,8377) = 70140621 / 1
LCM(8373,8377) = 70140621

Properties of LCM 8373 and 8377

(i) The LCM of 8377 and 8373 is associative

LCM of 8373 and 8377 = LCM of 8377 and 8373

Related Least Common Multiples of 8373

Related Least Common Multiples of 8377

Frequently Asked Questions on LCM of 8373 and 8377

1. What is the LCM of 8373 and 8377?

Answer: LCM of 8373 and 8377 is 70140621.

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 8377?

Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.

4. How to Find the LCM of 8373 and 8377?

Answer:

Least Common Multiple of 8373 and 8377 = 70140621

Step 1: Find the prime factorization of 8373

8373 = 3 x 2791

Step 2: Find the prime factorization of 8377

8377 = 8377

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

LCM = 70140621 = 3 x 2791 x 8377

Step 4: Therefore, the least common multiple of 8373 and 8377 is 70140621.