Least Common Multiple of 321 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 321 and 327 the smallest integer that is 34989 that is divisible by both numbers.

Least Common Multiple (LCM) of 321 and 327 is 34989.

LCM(321,327) = 34989

LCM of 321 and 327

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

LCM of:
and

Least Common Multiple of 321 and 327

LCM of 321 and 327 is 34989

Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 327. First we will calculate the prime factors of 321 and 327.

Prime Factorization of 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

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 321 and 327.

LCM(321,327) = 31×1071×1091
LCM(321,327) = 34989

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Factors of 327

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

1, 3, 109, 327

Least Common Multiple of 321 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 321 and 327, than apply into the LCM equation.

GCF(321,327) = 3
LCM(321,327) = ( 321 × 327) / 3
LCM(321,327) = 104967 / 3
LCM(321,327) = 34989

Properties of LCM 321 and 327

(i) The LCM of 327 and 321 is associative

LCM of 321 and 327 = LCM of 327 and 321

Related Least Common Multiples of 321

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 321 and 327

1. What is the LCM of 321 and 327?

Answer: LCM of 321 and 327 is 34989.

2. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

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 321 and 327?

Answer:

Least Common Multiple of 321 and 327 = 34989

Step 1: Find the prime factorization of 321

321 = 3 x 107

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 = 34989 = 3 x 107 x 109

Step 4: Therefore, the least common multiple of 321 and 327 is 34989.