Least Common Multiple of 6317 and 6325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6317 and 6325 the smallest integer that is 39955025 that is divisible by both numbers.

Least Common Multiple (LCM) of 6317 and 6325 is 39955025.

LCM(6317,6325) = 39955025

LCM of 6317 and 6325

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

LCM of:
and

Least Common Multiple of 6317 and 6325

LCM of 6317 and 6325 is 39955025

Least common multiple can be found by multiplying the highest exponent prime factors of 6317 and 6325. First we will calculate the prime factors of 6317 and 6325.

Prime Factorization of 6317


6317 6317
1

Prime factors of 6317 are 6317. Prime factorization of 6317 in exponential form is:

6317 = 63171

Prime Factorization of 6325


5 6325
5 1265
11 253
23 23
1

Prime factors of 6325 are 5, 11,23. Prime factorization of 6325 in exponential form is:

6325 = 52×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6317 and 6325.

LCM(6317,6325) = 52×111×231×63171
LCM(6317,6325) = 39955025

Factors of 6317

List of positive integer factors of 6317 that divides 6317 without a remainder.

1, 6317

Factors of 6325

List of positive integer factors of 6325 that divides 6325 without a remainder.

1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325

Least Common Multiple of 6317 and 6325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6317 and 6325, than apply into the LCM equation.

GCF(6317,6325) = 1
LCM(6317,6325) = ( 6317 × 6325) / 1
LCM(6317,6325) = 39955025 / 1
LCM(6317,6325) = 39955025

Properties of LCM 6317 and 6325

(i) The LCM of 6325 and 6317 is associative

LCM of 6317 and 6325 = LCM of 6325 and 6317

Related Least Common Multiples of 6317

Related Least Common Multiples of 6325

Frequently Asked Questions on LCM of 6317 and 6325

1. What is the LCM of 6317 and 6325?

Answer: LCM of 6317 and 6325 is 39955025.

2. What are the Factors of 6317?

Answer: Factors of 6317 are 1, 6317. There are 2 integers that are factors of 6317. The greatest factor of 6317 is 6317.

3. What are the Factors of 6325?

Answer: Factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325. There are 12 integers that are factors of 6325. The greatest factor of 6325 is 6325.

4. How to Find the LCM of 6317 and 6325?

Answer:

Least Common Multiple of 6317 and 6325 = 39955025

Step 1: Find the prime factorization of 6317

6317 = 6317

Step 2: Find the prime factorization of 6325

6325 = 5 x 5 x 11 x 23

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

LCM = 39955025 = 5 x 5 x 11 x 23 x 6317

Step 4: Therefore, the least common multiple of 6317 and 6325 is 39955025.