Least Common Multiple of 1812 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 1812 and 1819 the smallest integer that is 3296028 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1819 is 3296028.

LCM(1812,1819) = 3296028

LCM of 1812 and 1819

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

LCM of:
and

Least Common Multiple of 1812 and 1819

LCM of 1812 and 1819 is 3296028

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1819. First we will calculate the prime factors of 1812 and 1819.

Prime Factorization of 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2, 3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

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 1812 and 1819.

LCM(1812,1819) = 22×31×171×1071×1511
LCM(1812,1819) = 3296028

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

Factors of 1819

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

1, 17, 107, 1819

Least Common Multiple of 1812 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 1812 and 1819, than apply into the LCM equation.

GCF(1812,1819) = 1
LCM(1812,1819) = ( 1812 × 1819) / 1
LCM(1812,1819) = 3296028 / 1
LCM(1812,1819) = 3296028

Properties of LCM 1812 and 1819

(i) The LCM of 1819 and 1812 is associative

LCM of 1812 and 1819 = LCM of 1819 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1819

Frequently Asked Questions on LCM of 1812 and 1819

1. What is the LCM of 1812 and 1819?

Answer: LCM of 1812 and 1819 is 3296028.

2. What are the Factors of 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

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 1812 and 1819?

Answer:

Least Common Multiple of 1812 and 1819 = 3296028

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

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 = 3296028 = 2 x 2 x 3 x 17 x 107 x 151

Step 4: Therefore, the least common multiple of 1812 and 1819 is 3296028.