Least Common Multiple of 1327 and 1333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1327 and 1333 the smallest integer that is 1768891 that is divisible by both numbers.

Least Common Multiple (LCM) of 1327 and 1333 is 1768891.

LCM(1327,1333) = 1768891

LCM of 1327 and 1333

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

LCM of:
and

Least Common Multiple of 1327 and 1333

LCM of 1327 and 1333 is 1768891

Least common multiple can be found by multiplying the highest exponent prime factors of 1327 and 1333. First we will calculate the prime factors of 1327 and 1333.

Prime Factorization of 1327


1327 1327
1

Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:

1327 = 13271

Prime Factorization of 1333


31 1333
43 43
1

Prime factors of 1333 are 31,43. Prime factorization of 1333 in exponential form is:

1333 = 311×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1327 and 1333.

LCM(1327,1333) = 311×431×13271
LCM(1327,1333) = 1768891

Factors of 1327

List of positive integer factors of 1327 that divides 1327 without a remainder.

1, 1327

Factors of 1333

List of positive integer factors of 1333 that divides 1333 without a remainder.

1, 31, 43, 1333

Least Common Multiple of 1327 and 1333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1327 and 1333, than apply into the LCM equation.

GCF(1327,1333) = 1
LCM(1327,1333) = ( 1327 × 1333) / 1
LCM(1327,1333) = 1768891 / 1
LCM(1327,1333) = 1768891

Properties of LCM 1327 and 1333

(i) The LCM of 1333 and 1327 is associative

LCM of 1327 and 1333 = LCM of 1333 and 1327

Related Least Common Multiples of 1327

Related Least Common Multiples of 1333

Frequently Asked Questions on LCM of 1327 and 1333

1. What is the LCM of 1327 and 1333?

Answer: LCM of 1327 and 1333 is 1768891.

2. What are the Factors of 1327?

Answer: Factors of 1327 are 1, 1327. There are 2 integers that are factors of 1327. The greatest factor of 1327 is 1327.

3. What are the Factors of 1333?

Answer: Factors of 1333 are 1, 31, 43, 1333. There are 4 integers that are factors of 1333. The greatest factor of 1333 is 1333.

4. How to Find the LCM of 1327 and 1333?

Answer:

Least Common Multiple of 1327 and 1333 = 1768891

Step 1: Find the prime factorization of 1327

1327 = 1327

Step 2: Find the prime factorization of 1333

1333 = 31 x 43

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

LCM = 1768891 = 31 x 43 x 1327

Step 4: Therefore, the least common multiple of 1327 and 1333 is 1768891.