Least Common Multiple of 1314 and 1318

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 1318 the smallest integer that is 865926 that is divisible by both numbers.

Least Common Multiple (LCM) of 1314 and 1318 is 865926.

LCM(1314,1318) = 865926

LCM of 1314 and 1318

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

LCM of:
and

Least Common Multiple of 1314 and 1318

LCM of 1314 and 1318 is 865926

Least common multiple can be found by multiplying the highest exponent prime factors of 1314 and 1318. First we will calculate the prime factors of 1314 and 1318.

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 1318


2 1318
659 659
1

Prime factors of 1318 are 2,659. Prime factorization of 1318 in exponential form is:

1318 = 21×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 1314 and 1318.

LCM(1314,1318) = 21×32×731×6591
LCM(1314,1318) = 865926

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 1318

List of positive integer factors of 1318 that divides 1318 without a remainder.

1, 2, 659, 1318

Least Common Multiple of 1314 and 1318 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 1318, than apply into the LCM equation.

GCF(1314,1318) = 2
LCM(1314,1318) = ( 1314 × 1318) / 2
LCM(1314,1318) = 1731852 / 2
LCM(1314,1318) = 865926

Properties of LCM 1314 and 1318

(i) The LCM of 1318 and 1314 is associative

LCM of 1314 and 1318 = LCM of 1318 and 1314

Related Least Common Multiples of 1314

Related Least Common Multiples of 1318

Frequently Asked Questions on LCM of 1314 and 1318

1. What is the LCM of 1314 and 1318?

Answer: LCM of 1314 and 1318 is 865926.

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 1318?

Answer: Factors of 1318 are 1, 2, 659, 1318. There are 4 integers that are factors of 1318. The greatest factor of 1318 is 1318.

4. How to Find the LCM of 1314 and 1318?

Answer:

Least Common Multiple of 1314 and 1318 = 865926

Step 1: Find the prime factorization of 1314

1314 = 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 1318

1318 = 2 x 659

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

LCM = 865926 = 2 x 3 x 3 x 73 x 659

Step 4: Therefore, the least common multiple of 1314 and 1318 is 865926.