Least Common Multiple of 1814 and 1816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1814 and 1816 the smallest integer that is 1647112 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1816 is 1647112.

LCM(1814,1816) = 1647112

LCM of 1814 and 1816

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

LCM of:
and

Least Common Multiple of 1814 and 1816

LCM of 1814 and 1816 is 1647112

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1816. First we will calculate the prime factors of 1814 and 1816.

Prime Factorization of 1814


2 1814
907 907
1

Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:

1814 = 21×9071

Prime Factorization of 1816


2 1816
2 908
2 454
227 227
1

Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:

1816 = 23×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1816.

LCM(1814,1816) = 23×2271×9071
LCM(1814,1816) = 1647112

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1, 2, 907, 1814

Factors of 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1, 2, 4, 8, 227, 454, 908, 1816

Least Common Multiple of 1814 and 1816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1814 and 1816, than apply into the LCM equation.

GCF(1814,1816) = 2
LCM(1814,1816) = ( 1814 × 1816) / 2
LCM(1814,1816) = 3294224 / 2
LCM(1814,1816) = 1647112

Properties of LCM 1814 and 1816

(i) The LCM of 1816 and 1814 is associative

LCM of 1814 and 1816 = LCM of 1816 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1816

Frequently Asked Questions on LCM of 1814 and 1816

1. What is the LCM of 1814 and 1816?

Answer: LCM of 1814 and 1816 is 1647112.

2. What are the Factors of 1814?

Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.

3. What are the Factors of 1816?

Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.

4. How to Find the LCM of 1814 and 1816?

Answer:

Least Common Multiple of 1814 and 1816 = 1647112

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

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

LCM = 1647112 = 2 x 2 x 2 x 227 x 907

Step 4: Therefore, the least common multiple of 1814 and 1816 is 1647112.