Least Common Multiple of 326 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 326 and 327 the smallest integer that is 106602 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 327 is 106602.

LCM(326,327) = 106602

LCM of 326 and 327

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

LCM of:
and

Least Common Multiple of 326 and 327

LCM of 326 and 327 is 106602

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 327. First we will calculate the prime factors of 326 and 327.

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 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 326 and 327.

LCM(326,327) = 21×31×1091×1631
LCM(326,327) = 106602

Factors of 326

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

1, 2, 163, 326

Factors of 327

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

1, 3, 109, 327

Least Common Multiple of 326 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 326 and 327, than apply into the LCM equation.

GCF(326,327) = 1
LCM(326,327) = ( 326 × 327) / 1
LCM(326,327) = 106602 / 1
LCM(326,327) = 106602

Properties of LCM 326 and 327

(i) The LCM of 327 and 326 is associative

LCM of 326 and 327 = LCM of 327 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 326 and 327

1. What is the LCM of 326 and 327?

Answer: LCM of 326 and 327 is 106602.

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 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 326 and 327?

Answer:

Least Common Multiple of 326 and 327 = 106602

Step 1: Find the prime factorization of 326

326 = 2 x 163

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 = 106602 = 2 x 3 x 109 x 163

Step 4: Therefore, the least common multiple of 326 and 327 is 106602.