Least Common Multiple of 6324 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 6324 and 6325 the smallest integer that is 39999300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6324 and 6325 is 39999300.

LCM(6324,6325) = 39999300

LCM of 6324 and 6325

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

LCM of:
and

Least Common Multiple of 6324 and 6325

LCM of 6324 and 6325 is 39999300

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6325. First we will calculate the prime factors of 6324 and 6325.

Prime Factorization of 6324


2 6324
2 3162
3 1581
17 527
31 31
1

Prime factors of 6324 are 2, 3, 17,31. Prime factorization of 6324 in exponential form is:

6324 = 22×31×171×311

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 6324 and 6325.

LCM(6324,6325) = 22×31×52×111×171×231×311
LCM(6324,6325) = 39999300

Factors of 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324

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 6324 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 6324 and 6325, than apply into the LCM equation.

GCF(6324,6325) = 1
LCM(6324,6325) = ( 6324 × 6325) / 1
LCM(6324,6325) = 39999300 / 1
LCM(6324,6325) = 39999300

Properties of LCM 6324 and 6325

(i) The LCM of 6325 and 6324 is associative

LCM of 6324 and 6325 = LCM of 6325 and 6324

Related Least Common Multiples of 6324

Related Least Common Multiples of 6325

Frequently Asked Questions on LCM of 6324 and 6325

1. What is the LCM of 6324 and 6325?

Answer: LCM of 6324 and 6325 is 39999300.

2. What are the Factors of 6324?

Answer: Factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324. There are 24 integers that are factors of 6324. The greatest factor of 6324 is 6324.

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 6324 and 6325?

Answer:

Least Common Multiple of 6324 and 6325 = 39999300

Step 1: Find the prime factorization of 6324

6324 = 2 x 2 x 3 x 17 x 31

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 = 39999300 = 2 x 2 x 3 x 5 x 5 x 11 x 17 x 23 x 31

Step 4: Therefore, the least common multiple of 6324 and 6325 is 39999300.