Least Common Multiple of 325 and 327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 325 and 327 the smallest integer that is 106275 that is divisible by both numbers.

Least Common Multiple (LCM) of 325 and 327 is 106275.

LCM(325,327) = 106275

LCM of 325 and 327

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

LCM of:
and

Least Common Multiple of 325 and 327

LCM of 325 and 327 is 106275

Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 327. First we will calculate the prime factors of 325 and 327.

Prime Factorization of 325


5 325
5 65
13 13
1

Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:

325 = 52×131

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 327.

LCM(325,327) = 31×52×131×1091
LCM(325,327) = 106275

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Least Common Multiple of 325 and 327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 325 and 327, than apply into the LCM equation.

GCF(325,327) = 1
LCM(325,327) = ( 325 × 327) / 1
LCM(325,327) = 106275 / 1
LCM(325,327) = 106275

Properties of LCM 325 and 327

(i) The LCM of 327 and 325 is associative

LCM of 325 and 327 = LCM of 327 and 325

Related Least Common Multiples of 325

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 325 and 327

1. What is the LCM of 325 and 327?

Answer: LCM of 325 and 327 is 106275.

2. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

3. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the LCM of 325 and 327?

Answer:

Least Common Multiple of 325 and 327 = 106275

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 327

327 = 3 x 109

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

LCM = 106275 = 3 x 5 x 5 x 13 x 109

Step 4: Therefore, the least common multiple of 325 and 327 is 106275.