Least Common Multiple of 1324 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 1324 and 1327 the smallest integer that is 1756948 that is divisible by both numbers.

Least Common Multiple (LCM) of 1324 and 1327 is 1756948.

LCM(1324,1327) = 1756948

LCM of 1324 and 1327

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

LCM of:
and

Least Common Multiple of 1324 and 1327

LCM of 1324 and 1327 is 1756948

Least common multiple can be found by multiplying the highest exponent prime factors of 1324 and 1327. First we will calculate the prime factors of 1324 and 1327.

Prime Factorization of 1324


2 1324
2 662
331 331
1

Prime factors of 1324 are 2,331. Prime factorization of 1324 in exponential form is:

1324 = 22×3311

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 1324 and 1327.

LCM(1324,1327) = 22×3311×13271
LCM(1324,1327) = 1756948

Factors of 1324

List of positive integer factors of 1324 that divides 1324 without a remainder.

1, 2, 4, 331, 662, 1324

Factors of 1327

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

1, 1327

Least Common Multiple of 1324 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 1324 and 1327, than apply into the LCM equation.

GCF(1324,1327) = 1
LCM(1324,1327) = ( 1324 × 1327) / 1
LCM(1324,1327) = 1756948 / 1
LCM(1324,1327) = 1756948

Properties of LCM 1324 and 1327

(i) The LCM of 1327 and 1324 is associative

LCM of 1324 and 1327 = LCM of 1327 and 1324

Related Least Common Multiples of 1324

Related Least Common Multiples of 1327

Frequently Asked Questions on LCM of 1324 and 1327

1. What is the LCM of 1324 and 1327?

Answer: LCM of 1324 and 1327 is 1756948.

2. What are the Factors of 1324?

Answer: Factors of 1324 are 1, 2, 4, 331, 662, 1324. There are 6 integers that are factors of 1324. The greatest factor of 1324 is 1324.

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 1324 and 1327?

Answer:

Least Common Multiple of 1324 and 1327 = 1756948

Step 1: Find the prime factorization of 1324

1324 = 2 x 2 x 331

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 = 1756948 = 2 x 2 x 331 x 1327

Step 4: Therefore, the least common multiple of 1324 and 1327 is 1756948.