Least Common Multiple of 325 and 331

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 331 the smallest integer that is 107575 that is divisible by both numbers.

Least Common Multiple (LCM) of 325 and 331 is 107575.

LCM(325,331) = 107575

LCM of 325 and 331

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

LCM of:
and

Least Common Multiple of 325 and 331

LCM of 325 and 331 is 107575

Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 331. First we will calculate the prime factors of 325 and 331.

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 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 331.

LCM(325,331) = 52×131×3311
LCM(325,331) = 107575

Factors of 325

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

1, 5, 13, 25, 65, 325

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Least Common Multiple of 325 and 331 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 331, than apply into the LCM equation.

GCF(325,331) = 1
LCM(325,331) = ( 325 × 331) / 1
LCM(325,331) = 107575 / 1
LCM(325,331) = 107575

Properties of LCM 325 and 331

(i) The LCM of 331 and 325 is associative

LCM of 325 and 331 = LCM of 331 and 325

Related Least Common Multiples of 325

Related Least Common Multiples of 331

Frequently Asked Questions on LCM of 325 and 331

1. What is the LCM of 325 and 331?

Answer: LCM of 325 and 331 is 107575.

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 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. How to Find the LCM of 325 and 331?

Answer:

Least Common Multiple of 325 and 331 = 107575

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 331

331 = 331

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

LCM = 107575 = 5 x 5 x 13 x 331

Step 4: Therefore, the least common multiple of 325 and 331 is 107575.