Least Common Multiple of 8375 and 8377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8375 and 8377 the smallest integer that is 70157375 that is divisible by both numbers.

Least Common Multiple (LCM) of 8375 and 8377 is 70157375.

LCM(8375,8377) = 70157375

LCM of 8375 and 8377

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

LCM of:
and

Least Common Multiple of 8375 and 8377

LCM of 8375 and 8377 is 70157375

Least common multiple can be found by multiplying the highest exponent prime factors of 8375 and 8377. First we will calculate the prime factors of 8375 and 8377.

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

Prime Factorization of 8377


8377 8377
1

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 8375 and 8377.

LCM(8375,8377) = 53×671×83771
LCM(8375,8377) = 70157375

Factors of 8375

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

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

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1, 8377

Least Common Multiple of 8375 and 8377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8375 and 8377, than apply into the LCM equation.

GCF(8375,8377) = 1
LCM(8375,8377) = ( 8375 × 8377) / 1
LCM(8375,8377) = 70157375 / 1
LCM(8375,8377) = 70157375

Properties of LCM 8375 and 8377

(i) The LCM of 8377 and 8375 is associative

LCM of 8375 and 8377 = LCM of 8377 and 8375

Related Least Common Multiples of 8375

Related Least Common Multiples of 8377

Frequently Asked Questions on LCM of 8375 and 8377

1. What is the LCM of 8375 and 8377?

Answer: LCM of 8375 and 8377 is 70157375.

2. 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.

3. What are the Factors of 8377?

Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.

4. How to Find the LCM of 8375 and 8377?

Answer:

Least Common Multiple of 8375 and 8377 = 70157375

Step 1: Find the prime factorization of 8375

8375 = 5 x 5 x 5 x 67

Step 2: Find the prime factorization of 8377

8377 = 8377

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

LCM = 70157375 = 5 x 5 x 5 x 67 x 8377

Step 4: Therefore, the least common multiple of 8375 and 8377 is 70157375.