Least Common Multiple of 1315 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 1315 and 1319 the smallest integer that is 1734485 that is divisible by both numbers.

Least Common Multiple (LCM) of 1315 and 1319 is 1734485.

LCM(1315,1319) = 1734485

LCM of 1315 and 1319

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

LCM of:
and

Least Common Multiple of 1315 and 1319

LCM of 1315 and 1319 is 1734485

Least common multiple can be found by multiplying the highest exponent prime factors of 1315 and 1319. First we will calculate the prime factors of 1315 and 1319.

Prime Factorization of 1315


5 1315
263 263
1

Prime factors of 1315 are 5,263. Prime factorization of 1315 in exponential form is:

1315 = 51×2631

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 1315 and 1319.

LCM(1315,1319) = 51×2631×13191
LCM(1315,1319) = 1734485

Factors of 1315

List of positive integer factors of 1315 that divides 1315 without a remainder.

1, 5, 263, 1315

Factors of 1319

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

1, 1319

Least Common Multiple of 1315 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 1315 and 1319, than apply into the LCM equation.

GCF(1315,1319) = 1
LCM(1315,1319) = ( 1315 × 1319) / 1
LCM(1315,1319) = 1734485 / 1
LCM(1315,1319) = 1734485

Properties of LCM 1315 and 1319

(i) The LCM of 1319 and 1315 is associative

LCM of 1315 and 1319 = LCM of 1319 and 1315

Related Least Common Multiples of 1315

Related Least Common Multiples of 1319

Frequently Asked Questions on LCM of 1315 and 1319

1. What is the LCM of 1315 and 1319?

Answer: LCM of 1315 and 1319 is 1734485.

2. What are the Factors of 1315?

Answer: Factors of 1315 are 1, 5, 263, 1315. There are 4 integers that are factors of 1315. The greatest factor of 1315 is 1315.

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 1315 and 1319?

Answer:

Least Common Multiple of 1315 and 1319 = 1734485

Step 1: Find the prime factorization of 1315

1315 = 5 x 263

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 = 1734485 = 5 x 263 x 1319

Step 4: Therefore, the least common multiple of 1315 and 1319 is 1734485.