Least Common Multiple of 325 and 330

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 330 the smallest integer that is 21450 that is divisible by both numbers.

Least Common Multiple (LCM) of 325 and 330 is 21450.

LCM(325,330) = 21450

LCM of 325 and 330

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

LCM of:
and

Least Common Multiple of 325 and 330

LCM of 325 and 330 is 21450

Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 330. First we will calculate the prime factors of 325 and 330.

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 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 330.

LCM(325,330) = 21×31×52×111×131
LCM(325,330) = 21450

Factors of 325

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

1, 5, 13, 25, 65, 325

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Least Common Multiple of 325 and 330 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 330, than apply into the LCM equation.

GCF(325,330) = 5
LCM(325,330) = ( 325 × 330) / 5
LCM(325,330) = 107250 / 5
LCM(325,330) = 21450

Properties of LCM 325 and 330

(i) The LCM of 330 and 325 is associative

LCM of 325 and 330 = LCM of 330 and 325

Related Least Common Multiples of 325

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 325 and 330

1. What is the LCM of 325 and 330?

Answer: LCM of 325 and 330 is 21450.

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 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

4. How to Find the LCM of 325 and 330?

Answer:

Least Common Multiple of 325 and 330 = 21450

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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

LCM = 21450 = 2 x 3 x 5 x 5 x 11 x 13

Step 4: Therefore, the least common multiple of 325 and 330 is 21450.