Least Common Multiple of 1812 and 1814

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 1814 the smallest integer that is 1643484 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1814 is 1643484.

LCM(1812,1814) = 1643484

LCM of 1812 and 1814

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

LCM of:
and

Least Common Multiple of 1812 and 1814

LCM of 1812 and 1814 is 1643484

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1814. First we will calculate the prime factors of 1812 and 1814.

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 1814


2 1814
907 907
1

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

1814 = 21×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1814.

LCM(1812,1814) = 22×31×1511×9071
LCM(1812,1814) = 1643484

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 1814

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

1, 2, 907, 1814

Least Common Multiple of 1812 and 1814 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 1814, than apply into the LCM equation.

GCF(1812,1814) = 2
LCM(1812,1814) = ( 1812 × 1814) / 2
LCM(1812,1814) = 3286968 / 2
LCM(1812,1814) = 1643484

Properties of LCM 1812 and 1814

(i) The LCM of 1814 and 1812 is associative

LCM of 1812 and 1814 = LCM of 1814 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1814

Frequently Asked Questions on LCM of 1812 and 1814

1. What is the LCM of 1812 and 1814?

Answer: LCM of 1812 and 1814 is 1643484.

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 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.

4. How to Find the LCM of 1812 and 1814?

Answer:

Least Common Multiple of 1812 and 1814 = 1643484

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1814

1814 = 2 x 907

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

LCM = 1643484 = 2 x 2 x 3 x 151 x 907

Step 4: Therefore, the least common multiple of 1812 and 1814 is 1643484.