Least Common Multiple of 8369 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 8369 and 8375 the smallest integer that is 70090375 that is divisible by both numbers.

Least Common Multiple (LCM) of 8369 and 8375 is 70090375.

LCM(8369,8375) = 70090375

LCM of 8369 and 8375

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

LCM of:
and

Least Common Multiple of 8369 and 8375

LCM of 8369 and 8375 is 70090375

Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8375. First we will calculate the prime factors of 8369 and 8375.

Prime Factorization of 8369


8369 8369
1

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 83691

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 8369 and 8375.

LCM(8369,8375) = 53×671×83691
LCM(8369,8375) = 70090375

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1, 8369

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 8369 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 8369 and 8375, than apply into the LCM equation.

GCF(8369,8375) = 1
LCM(8369,8375) = ( 8369 × 8375) / 1
LCM(8369,8375) = 70090375 / 1
LCM(8369,8375) = 70090375

Properties of LCM 8369 and 8375

(i) The LCM of 8375 and 8369 is associative

LCM of 8369 and 8375 = LCM of 8375 and 8369

Related Least Common Multiples of 8369

Related Least Common Multiples of 8375

Frequently Asked Questions on LCM of 8369 and 8375

1. What is the LCM of 8369 and 8375?

Answer: LCM of 8369 and 8375 is 70090375.

2. What are the Factors of 8369?

Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.

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 8369 and 8375?

Answer:

Least Common Multiple of 8369 and 8375 = 70090375

Step 1: Find the prime factorization of 8369

8369 = 8369

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 = 70090375 = 5 x 5 x 5 x 67 x 8369

Step 4: Therefore, the least common multiple of 8369 and 8375 is 70090375.