Least Common Multiple of 8367 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 8367 and 8375 the smallest integer that is 70073625 that is divisible by both numbers.

Least Common Multiple (LCM) of 8367 and 8375 is 70073625.

LCM(8367,8375) = 70073625

LCM of 8367 and 8375

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

LCM of:
and

Least Common Multiple of 8367 and 8375

LCM of 8367 and 8375 is 70073625

Least common multiple can be found by multiplying the highest exponent prime factors of 8367 and 8375. First we will calculate the prime factors of 8367 and 8375.

Prime Factorization of 8367


3 8367
2789 2789
1

Prime factors of 8367 are 3,2789. Prime factorization of 8367 in exponential form is:

8367 = 31×27891

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 8367 and 8375.

LCM(8367,8375) = 31×53×671×27891
LCM(8367,8375) = 70073625

Factors of 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1, 3, 2789, 8367

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 8367 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 8367 and 8375, than apply into the LCM equation.

GCF(8367,8375) = 1
LCM(8367,8375) = ( 8367 × 8375) / 1
LCM(8367,8375) = 70073625 / 1
LCM(8367,8375) = 70073625

Properties of LCM 8367 and 8375

(i) The LCM of 8375 and 8367 is associative

LCM of 8367 and 8375 = LCM of 8375 and 8367

Related Least Common Multiples of 8367

Related Least Common Multiples of 8375

Frequently Asked Questions on LCM of 8367 and 8375

1. What is the LCM of 8367 and 8375?

Answer: LCM of 8367 and 8375 is 70073625.

2. What are the Factors of 8367?

Answer: Factors of 8367 are 1, 3, 2789, 8367. There are 4 integers that are factors of 8367. The greatest factor of 8367 is 8367.

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 8367 and 8375?

Answer:

Least Common Multiple of 8367 and 8375 = 70073625

Step 1: Find the prime factorization of 8367

8367 = 3 x 2789

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 = 70073625 = 3 x 5 x 5 x 5 x 67 x 2789

Step 4: Therefore, the least common multiple of 8367 and 8375 is 70073625.