Least Common Multiple of 1327 and 1334

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 1334 the smallest integer that is 1770218 that is divisible by both numbers.

Least Common Multiple (LCM) of 1327 and 1334 is 1770218.

LCM(1327,1334) = 1770218

LCM of 1327 and 1334

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

LCM of:
and

Least Common Multiple of 1327 and 1334

LCM of 1327 and 1334 is 1770218

Least common multiple can be found by multiplying the highest exponent prime factors of 1327 and 1334. First we will calculate the prime factors of 1327 and 1334.

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 1334


2 1334
23 667
29 29
1

Prime factors of 1334 are 2, 23,29. Prime factorization of 1334 in exponential form is:

1334 = 21×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1327 and 1334.

LCM(1327,1334) = 21×231×291×13271
LCM(1327,1334) = 1770218

Factors of 1327

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

1, 1327

Factors of 1334

List of positive integer factors of 1334 that divides 1334 without a remainder.

1, 2, 23, 29, 46, 58, 667, 1334

Least Common Multiple of 1327 and 1334 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 1334, than apply into the LCM equation.

GCF(1327,1334) = 1
LCM(1327,1334) = ( 1327 × 1334) / 1
LCM(1327,1334) = 1770218 / 1
LCM(1327,1334) = 1770218

Properties of LCM 1327 and 1334

(i) The LCM of 1334 and 1327 is associative

LCM of 1327 and 1334 = LCM of 1334 and 1327

Related Least Common Multiples of 1327

Related Least Common Multiples of 1334

Frequently Asked Questions on LCM of 1327 and 1334

1. What is the LCM of 1327 and 1334?

Answer: LCM of 1327 and 1334 is 1770218.

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 1334?

Answer: Factors of 1334 are 1, 2, 23, 29, 46, 58, 667, 1334. There are 8 integers that are factors of 1334. The greatest factor of 1334 is 1334.

4. How to Find the LCM of 1327 and 1334?

Answer:

Least Common Multiple of 1327 and 1334 = 1770218

Step 1: Find the prime factorization of 1327

1327 = 1327

Step 2: Find the prime factorization of 1334

1334 = 2 x 23 x 29

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

LCM = 1770218 = 2 x 23 x 29 x 1327

Step 4: Therefore, the least common multiple of 1327 and 1334 is 1770218.