Least Common Multiple of 8365 and 8370

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 8370 the smallest integer that is 14003010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8365 and 8370 is 14003010.

LCM(8365,8370) = 14003010

LCM of 8365 and 8370

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

LCM of:
and

Least Common Multiple of 8365 and 8370

LCM of 8365 and 8370 is 14003010

Least common multiple can be found by multiplying the highest exponent prime factors of 8365 and 8370. First we will calculate the prime factors of 8365 and 8370.

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 8370


2 8370
3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 8370 are 2, 3, 5,31. Prime factorization of 8370 in exponential form is:

8370 = 21×33×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8365 and 8370.

LCM(8365,8370) = 21×33×51×71×311×2391
LCM(8365,8370) = 14003010

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 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370

Least Common Multiple of 8365 and 8370 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 8370, than apply into the LCM equation.

GCF(8365,8370) = 5
LCM(8365,8370) = ( 8365 × 8370) / 5
LCM(8365,8370) = 70015050 / 5
LCM(8365,8370) = 14003010

Properties of LCM 8365 and 8370

(i) The LCM of 8370 and 8365 is associative

LCM of 8365 and 8370 = LCM of 8370 and 8365

Related Least Common Multiples of 8365

Related Least Common Multiples of 8370

Frequently Asked Questions on LCM of 8365 and 8370

1. What is the LCM of 8365 and 8370?

Answer: LCM of 8365 and 8370 is 14003010.

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 8370?

Answer: Factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370. There are 32 integers that are factors of 8370. The greatest factor of 8370 is 8370.

4. How to Find the LCM of 8365 and 8370?

Answer:

Least Common Multiple of 8365 and 8370 = 14003010

Step 1: Find the prime factorization of 8365

8365 = 5 x 7 x 239

Step 2: Find the prime factorization of 8370

8370 = 2 x 3 x 3 x 3 x 5 x 31

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

LCM = 14003010 = 2 x 3 x 3 x 3 x 5 x 7 x 31 x 239

Step 4: Therefore, the least common multiple of 8365 and 8370 is 14003010.