Least Common Multiple of 326 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 326 and 330 the smallest integer that is 53790 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 330 is 53790.

LCM(326,330) = 53790

LCM of 326 and 330

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

LCM of:
and

Least Common Multiple of 326 and 330

LCM of 326 and 330 is 53790

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 330. First we will calculate the prime factors of 326 and 330.

Prime Factorization of 326


2 326
163 163
1

Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:

326 = 21×1631

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 326 and 330.

LCM(326,330) = 21×31×51×111×1631
LCM(326,330) = 53790

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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 326 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 326 and 330, than apply into the LCM equation.

GCF(326,330) = 2
LCM(326,330) = ( 326 × 330) / 2
LCM(326,330) = 107580 / 2
LCM(326,330) = 53790

Properties of LCM 326 and 330

(i) The LCM of 330 and 326 is associative

LCM of 326 and 330 = LCM of 330 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 326 and 330

1. What is the LCM of 326 and 330?

Answer: LCM of 326 and 330 is 53790.

2. What are the Factors of 326?

Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.

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 326 and 330?

Answer:

Least Common Multiple of 326 and 330 = 53790

Step 1: Find the prime factorization of 326

326 = 2 x 163

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 = 53790 = 2 x 3 x 5 x 11 x 163

Step 4: Therefore, the least common multiple of 326 and 330 is 53790.