Least Common Multiple of 1312 and 1319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1312 and 1319 the smallest integer that is 1730528 that is divisible by both numbers.

Least Common Multiple (LCM) of 1312 and 1319 is 1730528.

LCM(1312,1319) = 1730528

LCM of 1312 and 1319

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

LCM of:
and

Least Common Multiple of 1312 and 1319

LCM of 1312 and 1319 is 1730528

Least common multiple can be found by multiplying the highest exponent prime factors of 1312 and 1319. First we will calculate the prime factors of 1312 and 1319.

Prime Factorization of 1312


2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 1312 are 2,41. Prime factorization of 1312 in exponential form is:

1312 = 25×411

Prime Factorization of 1319


1319 1319
1

Prime factors of 1319 are 1319. Prime factorization of 1319 in exponential form is:

1319 = 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 1312 and 1319.

LCM(1312,1319) = 25×411×13191
LCM(1312,1319) = 1730528

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312

Factors of 1319

List of positive integer factors of 1319 that divides 1319 without a remainder.

1, 1319

Least Common Multiple of 1312 and 1319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1312 and 1319, than apply into the LCM equation.

GCF(1312,1319) = 1
LCM(1312,1319) = ( 1312 × 1319) / 1
LCM(1312,1319) = 1730528 / 1
LCM(1312,1319) = 1730528

Properties of LCM 1312 and 1319

(i) The LCM of 1319 and 1312 is associative

LCM of 1312 and 1319 = LCM of 1319 and 1312

Related Least Common Multiples of 1312

Related Least Common Multiples of 1319

Frequently Asked Questions on LCM of 1312 and 1319

1. What is the LCM of 1312 and 1319?

Answer: LCM of 1312 and 1319 is 1730528.

2. What are the Factors of 1312?

Answer: Factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312. There are 12 integers that are factors of 1312. The greatest factor of 1312 is 1312.

3. What are the Factors of 1319?

Answer: Factors of 1319 are 1, 1319. There are 2 integers that are factors of 1319. The greatest factor of 1319 is 1319.

4. How to Find the LCM of 1312 and 1319?

Answer:

Least Common Multiple of 1312 and 1319 = 1730528

Step 1: Find the prime factorization of 1312

1312 = 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 1319

1319 = 1319

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

LCM = 1730528 = 2 x 2 x 2 x 2 x 2 x 41 x 1319

Step 4: Therefore, the least common multiple of 1312 and 1319 is 1730528.