Least Common Multiple of 1814 and 1819

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 1819 the smallest integer that is 3299666 that is divisible by both numbers.

Least Common Multiple (LCM) of 1814 and 1819 is 3299666.

LCM(1814,1819) = 3299666

LCM of 1814 and 1819

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

LCM of:
and

Least Common Multiple of 1814 and 1819

LCM of 1814 and 1819 is 3299666

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1819. First we will calculate the prime factors of 1814 and 1819.

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 1819


17 1819
107 107
1

Prime factors of 1819 are 17,107. Prime factorization of 1819 in exponential form is:

1819 = 171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1819.

LCM(1814,1819) = 21×171×1071×9071
LCM(1814,1819) = 3299666

Factors of 1814

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

1, 2, 907, 1814

Factors of 1819

List of positive integer factors of 1819 that divides 1819 without a remainder.

1, 17, 107, 1819

Least Common Multiple of 1814 and 1819 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 1819, than apply into the LCM equation.

GCF(1814,1819) = 1
LCM(1814,1819) = ( 1814 × 1819) / 1
LCM(1814,1819) = 3299666 / 1
LCM(1814,1819) = 3299666

Properties of LCM 1814 and 1819

(i) The LCM of 1819 and 1814 is associative

LCM of 1814 and 1819 = LCM of 1819 and 1814

Related Least Common Multiples of 1814

Related Least Common Multiples of 1819

Frequently Asked Questions on LCM of 1814 and 1819

1. What is the LCM of 1814 and 1819?

Answer: LCM of 1814 and 1819 is 3299666.

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 1819?

Answer: Factors of 1819 are 1, 17, 107, 1819. There are 4 integers that are factors of 1819. The greatest factor of 1819 is 1819.

4. How to Find the LCM of 1814 and 1819?

Answer:

Least Common Multiple of 1814 and 1819 = 3299666

Step 1: Find the prime factorization of 1814

1814 = 2 x 907

Step 2: Find the prime factorization of 1819

1819 = 17 x 107

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

LCM = 3299666 = 2 x 17 x 107 x 907

Step 4: Therefore, the least common multiple of 1814 and 1819 is 3299666.