Least Common Multiple of 8365 and 8372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8365 and 8372 the smallest integer that is 10004540 that is divisible by both numbers.

Least Common Multiple (LCM) of 8365 and 8372 is 10004540.

LCM(8365,8372) = 10004540

LCM of 8365 and 8372

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

LCM of:
and

Least Common Multiple of 8365 and 8372

LCM of 8365 and 8372 is 10004540

Least common multiple can be found by multiplying the highest exponent prime factors of 8365 and 8372. First we will calculate the prime factors of 8365 and 8372.

Prime Factorization of 8365


5 8365
7 1673
239 239
1

Prime factors of 8365 are 5, 7,239. Prime factorization of 8365 in exponential form is:

8365 = 51×71×2391

Prime Factorization of 8372


2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 8372 are 2, 7, 13,23. Prime factorization of 8372 in exponential form is:

8372 = 22×71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8365 and 8372.

LCM(8365,8372) = 22×51×71×131×231×2391
LCM(8365,8372) = 10004540

Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1, 5, 7, 35, 239, 1195, 1673, 8365

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372

Least Common Multiple of 8365 and 8372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8365 and 8372, than apply into the LCM equation.

GCF(8365,8372) = 7
LCM(8365,8372) = ( 8365 × 8372) / 7
LCM(8365,8372) = 70031780 / 7
LCM(8365,8372) = 10004540

Properties of LCM 8365 and 8372

(i) The LCM of 8372 and 8365 is associative

LCM of 8365 and 8372 = LCM of 8372 and 8365

Related Least Common Multiples of 8365

Related Least Common Multiples of 8372

Frequently Asked Questions on LCM of 8365 and 8372

1. What is the LCM of 8365 and 8372?

Answer: LCM of 8365 and 8372 is 10004540.

2. What are the Factors of 8365?

Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.

3. What are the Factors of 8372?

Answer: Factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. There are 24 integers that are factors of 8372. The greatest factor of 8372 is 8372.

4. How to Find the LCM of 8365 and 8372?

Answer:

Least Common Multiple of 8365 and 8372 = 10004540

Step 1: Find the prime factorization of 8365

8365 = 5 x 7 x 239

Step 2: Find the prime factorization of 8372

8372 = 2 x 2 x 7 x 13 x 23

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

LCM = 10004540 = 2 x 2 x 5 x 7 x 13 x 23 x 239

Step 4: Therefore, the least common multiple of 8365 and 8372 is 10004540.