Least Common Multiple of 8370 and 8375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8370 and 8375 the smallest integer that is 14019750 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8375 is 14019750.

LCM(8370,8375) = 14019750

LCM of 8370 and 8375

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

LCM of:
and

Least Common Multiple of 8370 and 8375

LCM of 8370 and 8375 is 14019750

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8375. First we will calculate the prime factors of 8370 and 8375.

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

Prime Factorization of 8375


5 8375
5 1675
5 335
67 67
1

Prime factors of 8375 are 5,67. Prime factorization of 8375 in exponential form is:

8375 = 53×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8375.

LCM(8370,8375) = 21×33×53×311×671
LCM(8370,8375) = 14019750

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

Factors of 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1, 5, 25, 67, 125, 335, 1675, 8375

Least Common Multiple of 8370 and 8375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8370 and 8375, than apply into the LCM equation.

GCF(8370,8375) = 5
LCM(8370,8375) = ( 8370 × 8375) / 5
LCM(8370,8375) = 70098750 / 5
LCM(8370,8375) = 14019750

Properties of LCM 8370 and 8375

(i) The LCM of 8375 and 8370 is associative

LCM of 8370 and 8375 = LCM of 8375 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8375

Frequently Asked Questions on LCM of 8370 and 8375

1. What is the LCM of 8370 and 8375?

Answer: LCM of 8370 and 8375 is 14019750.

2. 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.

3. What are the Factors of 8375?

Answer: Factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375. There are 8 integers that are factors of 8375. The greatest factor of 8375 is 8375.

4. How to Find the LCM of 8370 and 8375?

Answer:

Least Common Multiple of 8370 and 8375 = 14019750

Step 1: Find the prime factorization of 8370

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

Step 2: Find the prime factorization of 8375

8375 = 5 x 5 x 5 x 67

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

LCM = 14019750 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 31 x 67

Step 4: Therefore, the least common multiple of 8370 and 8375 is 14019750.