Least Common Multiple of 1327 and 1331

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 1331 the smallest integer that is 1766237 that is divisible by both numbers.

Least Common Multiple (LCM) of 1327 and 1331 is 1766237.

LCM(1327,1331) = 1766237

LCM of 1327 and 1331

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

LCM of:
and

Least Common Multiple of 1327 and 1331

LCM of 1327 and 1331 is 1766237

Least common multiple can be found by multiplying the highest exponent prime factors of 1327 and 1331. First we will calculate the prime factors of 1327 and 1331.

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 1331


11 1331
11 121
11 11
1

Prime factors of 1331 are 11. Prime factorization of 1331 in exponential form is:

1331 = 113

Now multiplying the highest exponent prime factors to calculate the LCM of 1327 and 1331.

LCM(1327,1331) = 113×13271
LCM(1327,1331) = 1766237

Factors of 1327

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

1, 1327

Factors of 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1, 11, 121, 1331

Least Common Multiple of 1327 and 1331 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 1331, than apply into the LCM equation.

GCF(1327,1331) = 1
LCM(1327,1331) = ( 1327 × 1331) / 1
LCM(1327,1331) = 1766237 / 1
LCM(1327,1331) = 1766237

Properties of LCM 1327 and 1331

(i) The LCM of 1331 and 1327 is associative

LCM of 1327 and 1331 = LCM of 1331 and 1327

Related Least Common Multiples of 1327

Related Least Common Multiples of 1331

Frequently Asked Questions on LCM of 1327 and 1331

1. What is the LCM of 1327 and 1331?

Answer: LCM of 1327 and 1331 is 1766237.

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 1331?

Answer: Factors of 1331 are 1, 11, 121, 1331. There are 4 integers that are factors of 1331. The greatest factor of 1331 is 1331.

4. How to Find the LCM of 1327 and 1331?

Answer:

Least Common Multiple of 1327 and 1331 = 1766237

Step 1: Find the prime factorization of 1327

1327 = 1327

Step 2: Find the prime factorization of 1331

1331 = 11 x 11 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 = 1766237 = 11 x 11 x 11 x 1327

Step 4: Therefore, the least common multiple of 1327 and 1331 is 1766237.