Least Common Multiple of 1314 and 1315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1314 and 1315 the smallest integer that is 1727910 that is divisible by both numbers.

Least Common Multiple (LCM) of 1314 and 1315 is 1727910.

LCM(1314,1315) = 1727910

LCM of 1314 and 1315

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

LCM of:
and

Least Common Multiple of 1314 and 1315

LCM of 1314 and 1315 is 1727910

Least common multiple can be found by multiplying the highest exponent prime factors of 1314 and 1315. First we will calculate the prime factors of 1314 and 1315.

Prime Factorization of 1314


2 1314
3 657
3 219
73 73
1

Prime factors of 1314 are 2, 3,73. Prime factorization of 1314 in exponential form is:

1314 = 21×32×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1314 and 1315.

LCM(1314,1315) = 21×32×51×731×2631
LCM(1314,1315) = 1727910

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314

Factors of 1315

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

1, 5, 263, 1315

Least Common Multiple of 1314 and 1315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1314 and 1315, than apply into the LCM equation.

GCF(1314,1315) = 1
LCM(1314,1315) = ( 1314 × 1315) / 1
LCM(1314,1315) = 1727910 / 1
LCM(1314,1315) = 1727910

Properties of LCM 1314 and 1315

(i) The LCM of 1315 and 1314 is associative

LCM of 1314 and 1315 = LCM of 1315 and 1314

Related Least Common Multiples of 1314

Related Least Common Multiples of 1315

Frequently Asked Questions on LCM of 1314 and 1315

1. What is the LCM of 1314 and 1315?

Answer: LCM of 1314 and 1315 is 1727910.

2. What are the Factors of 1314?

Answer: Factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314. There are 12 integers that are factors of 1314. The greatest factor of 1314 is 1314.

3. 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.

4. How to Find the LCM of 1314 and 1315?

Answer:

Least Common Multiple of 1314 and 1315 = 1727910

Step 1: Find the prime factorization of 1314

1314 = 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 1315

1315 = 5 x 263

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

LCM = 1727910 = 2 x 3 x 3 x 5 x 73 x 263

Step 4: Therefore, the least common multiple of 1314 and 1315 is 1727910.