Least Common Multiple of 1319 and 1324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1319 and 1324 the smallest integer that is 1746356 that is divisible by both numbers.

Least Common Multiple (LCM) of 1319 and 1324 is 1746356.

LCM(1319,1324) = 1746356

LCM of 1319 and 1324

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

LCM of:
and

Least Common Multiple of 1319 and 1324

LCM of 1319 and 1324 is 1746356

Least common multiple can be found by multiplying the highest exponent prime factors of 1319 and 1324. First we will calculate the prime factors of 1319 and 1324.

Prime Factorization of 1319


1319 1319
1

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

1319 = 13191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1319 and 1324.

LCM(1319,1324) = 22×3311×13191
LCM(1319,1324) = 1746356

Factors of 1319

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

1, 1319

Factors of 1324

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

1, 2, 4, 331, 662, 1324

Least Common Multiple of 1319 and 1324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1319 and 1324, than apply into the LCM equation.

GCF(1319,1324) = 1
LCM(1319,1324) = ( 1319 × 1324) / 1
LCM(1319,1324) = 1746356 / 1
LCM(1319,1324) = 1746356

Properties of LCM 1319 and 1324

(i) The LCM of 1324 and 1319 is associative

LCM of 1319 and 1324 = LCM of 1324 and 1319

Related Least Common Multiples of 1319

Related Least Common Multiples of 1324

Frequently Asked Questions on LCM of 1319 and 1324

1. What is the LCM of 1319 and 1324?

Answer: LCM of 1319 and 1324 is 1746356.

2. 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.

3. 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.

4. How to Find the LCM of 1319 and 1324?

Answer:

Least Common Multiple of 1319 and 1324 = 1746356

Step 1: Find the prime factorization of 1319

1319 = 1319

Step 2: Find the prime factorization of 1324

1324 = 2 x 2 x 331

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

LCM = 1746356 = 2 x 2 x 331 x 1319

Step 4: Therefore, the least common multiple of 1319 and 1324 is 1746356.