Least Common Multiple of 1322 and 1327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1322 and 1327 the smallest integer that is 1754294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1322 and 1327 is 1754294.

LCM(1322,1327) = 1754294

LCM of 1322 and 1327

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

LCM of:
and

Least Common Multiple of 1322 and 1327

LCM of 1322 and 1327 is 1754294

Least common multiple can be found by multiplying the highest exponent prime factors of 1322 and 1327. First we will calculate the prime factors of 1322 and 1327.

Prime Factorization of 1322


2 1322
661 661
1

Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:

1322 = 21×6611

Prime Factorization of 1327


1327 1327
1

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

1327 = 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 1322 and 1327.

LCM(1322,1327) = 21×6611×13271
LCM(1322,1327) = 1754294

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1, 2, 661, 1322

Factors of 1327

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

1, 1327

Least Common Multiple of 1322 and 1327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1322 and 1327, than apply into the LCM equation.

GCF(1322,1327) = 1
LCM(1322,1327) = ( 1322 × 1327) / 1
LCM(1322,1327) = 1754294 / 1
LCM(1322,1327) = 1754294

Properties of LCM 1322 and 1327

(i) The LCM of 1327 and 1322 is associative

LCM of 1322 and 1327 = LCM of 1327 and 1322

Related Least Common Multiples of 1322

Related Least Common Multiples of 1327

Frequently Asked Questions on LCM of 1322 and 1327

1. What is the LCM of 1322 and 1327?

Answer: LCM of 1322 and 1327 is 1754294.

2. What are the Factors of 1322?

Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.

3. 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.

4. How to Find the LCM of 1322 and 1327?

Answer:

Least Common Multiple of 1322 and 1327 = 1754294

Step 1: Find the prime factorization of 1322

1322 = 2 x 661

Step 2: Find the prime factorization of 1327

1327 = 1327

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

LCM = 1754294 = 2 x 661 x 1327

Step 4: Therefore, the least common multiple of 1322 and 1327 is 1754294.