Least Common Multiple of 8373 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 8373 and 8375 the smallest integer that is 70123875 that is divisible by both numbers.

Least Common Multiple (LCM) of 8373 and 8375 is 70123875.

LCM(8373,8375) = 70123875

LCM of 8373 and 8375

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

LCM of:
and

Least Common Multiple of 8373 and 8375

LCM of 8373 and 8375 is 70123875

Least common multiple can be found by multiplying the highest exponent prime factors of 8373 and 8375. First we will calculate the prime factors of 8373 and 8375.

Prime Factorization of 8373


3 8373
2791 2791
1

Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:

8373 = 31×27911

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 8373 and 8375.

LCM(8373,8375) = 31×53×671×27911
LCM(8373,8375) = 70123875

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1, 3, 2791, 8373

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 8373 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 8373 and 8375, than apply into the LCM equation.

GCF(8373,8375) = 1
LCM(8373,8375) = ( 8373 × 8375) / 1
LCM(8373,8375) = 70123875 / 1
LCM(8373,8375) = 70123875

Properties of LCM 8373 and 8375

(i) The LCM of 8375 and 8373 is associative

LCM of 8373 and 8375 = LCM of 8375 and 8373

Related Least Common Multiples of 8373

Related Least Common Multiples of 8375

Frequently Asked Questions on LCM of 8373 and 8375

1. What is the LCM of 8373 and 8375?

Answer: LCM of 8373 and 8375 is 70123875.

2. What are the Factors of 8373?

Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.

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 8373 and 8375?

Answer:

Least Common Multiple of 8373 and 8375 = 70123875

Step 1: Find the prime factorization of 8373

8373 = 3 x 2791

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 = 70123875 = 3 x 5 x 5 x 5 x 67 x 2791

Step 4: Therefore, the least common multiple of 8373 and 8375 is 70123875.