Least Common Multiple of 1327 and 1332

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 1332 the smallest integer that is 1767564 that is divisible by both numbers.

Least Common Multiple (LCM) of 1327 and 1332 is 1767564.

LCM(1327,1332) = 1767564

LCM of 1327 and 1332

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

LCM of:
and

Least Common Multiple of 1327 and 1332

LCM of 1327 and 1332 is 1767564

Least common multiple can be found by multiplying the highest exponent prime factors of 1327 and 1332. First we will calculate the prime factors of 1327 and 1332.

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 1332


2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 1332 are 2, 3,37. Prime factorization of 1332 in exponential form is:

1332 = 22×32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1327 and 1332.

LCM(1327,1332) = 22×32×371×13271
LCM(1327,1332) = 1767564

Factors of 1327

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

1, 1327

Factors of 1332

List of positive integer factors of 1332 that divides 1332 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332

Least Common Multiple of 1327 and 1332 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 1332, than apply into the LCM equation.

GCF(1327,1332) = 1
LCM(1327,1332) = ( 1327 × 1332) / 1
LCM(1327,1332) = 1767564 / 1
LCM(1327,1332) = 1767564

Properties of LCM 1327 and 1332

(i) The LCM of 1332 and 1327 is associative

LCM of 1327 and 1332 = LCM of 1332 and 1327

Related Least Common Multiples of 1327

Related Least Common Multiples of 1332

Frequently Asked Questions on LCM of 1327 and 1332

1. What is the LCM of 1327 and 1332?

Answer: LCM of 1327 and 1332 is 1767564.

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 1332?

Answer: Factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332. There are 18 integers that are factors of 1332. The greatest factor of 1332 is 1332.

4. How to Find the LCM of 1327 and 1332?

Answer:

Least Common Multiple of 1327 and 1332 = 1767564

Step 1: Find the prime factorization of 1327

1327 = 1327

Step 2: Find the prime factorization of 1332

1332 = 2 x 2 x 3 x 3 x 37

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

LCM = 1767564 = 2 x 2 x 3 x 3 x 37 x 1327

Step 4: Therefore, the least common multiple of 1327 and 1332 is 1767564.