Least Common Multiple of 8369 and 8373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8369 and 8373 the smallest integer that is 70073637 that is divisible by both numbers.

Least Common Multiple (LCM) of 8369 and 8373 is 70073637.

LCM(8369,8373) = 70073637

LCM of 8369 and 8373

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

LCM of:
and

Least Common Multiple of 8369 and 8373

LCM of 8369 and 8373 is 70073637

Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8373. First we will calculate the prime factors of 8369 and 8373.

Prime Factorization of 8369


8369 8369
1

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 83691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8369 and 8373.

LCM(8369,8373) = 31×27911×83691
LCM(8369,8373) = 70073637

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1, 8369

Factors of 8373

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

1, 3, 2791, 8373

Least Common Multiple of 8369 and 8373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8369 and 8373, than apply into the LCM equation.

GCF(8369,8373) = 1
LCM(8369,8373) = ( 8369 × 8373) / 1
LCM(8369,8373) = 70073637 / 1
LCM(8369,8373) = 70073637

Properties of LCM 8369 and 8373

(i) The LCM of 8373 and 8369 is associative

LCM of 8369 and 8373 = LCM of 8373 and 8369

Related Least Common Multiples of 8369

Related Least Common Multiples of 8373

Frequently Asked Questions on LCM of 8369 and 8373

1. What is the LCM of 8369 and 8373?

Answer: LCM of 8369 and 8373 is 70073637.

2. What are the Factors of 8369?

Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.

3. 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.

4. How to Find the LCM of 8369 and 8373?

Answer:

Least Common Multiple of 8369 and 8373 = 70073637

Step 1: Find the prime factorization of 8369

8369 = 8369

Step 2: Find the prime factorization of 8373

8373 = 3 x 2791

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

LCM = 70073637 = 3 x 2791 x 8369

Step 4: Therefore, the least common multiple of 8369 and 8373 is 70073637.