Least Common Multiple of 8364 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 8364 and 8370 the smallest integer that is 11667780 that is divisible by both numbers.

Least Common Multiple (LCM) of 8364 and 8370 is 11667780.

LCM(8364,8370) = 11667780

LCM of 8364 and 8370

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

LCM of:
and

Least Common Multiple of 8364 and 8370

LCM of 8364 and 8370 is 11667780

Least common multiple can be found by multiplying the highest exponent prime factors of 8364 and 8370. First we will calculate the prime factors of 8364 and 8370.

Prime Factorization of 8364


2 8364
2 4182
3 2091
17 697
41 41
1

Prime factors of 8364 are 2, 3, 17,41. Prime factorization of 8364 in exponential form is:

8364 = 22×31×171×411

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 8364 and 8370.

LCM(8364,8370) = 22×33×51×171×311×411
LCM(8364,8370) = 11667780

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364

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 8364 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 8364 and 8370, than apply into the LCM equation.

GCF(8364,8370) = 6
LCM(8364,8370) = ( 8364 × 8370) / 6
LCM(8364,8370) = 70006680 / 6
LCM(8364,8370) = 11667780

Properties of LCM 8364 and 8370

(i) The LCM of 8370 and 8364 is associative

LCM of 8364 and 8370 = LCM of 8370 and 8364

Related Least Common Multiples of 8364

Related Least Common Multiples of 8370

Frequently Asked Questions on LCM of 8364 and 8370

1. What is the LCM of 8364 and 8370?

Answer: LCM of 8364 and 8370 is 11667780.

2. What are the Factors of 8364?

Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.

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 8364 and 8370?

Answer:

Least Common Multiple of 8364 and 8370 = 11667780

Step 1: Find the prime factorization of 8364

8364 = 2 x 2 x 3 x 17 x 41

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 = 11667780 = 2 x 2 x 3 x 3 x 3 x 5 x 17 x 31 x 41

Step 4: Therefore, the least common multiple of 8364 and 8370 is 11667780.