Least Common Multiple of 1812 and 1817

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 1817 the smallest integer that is 3292404 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1817 is 3292404.

LCM(1812,1817) = 3292404

LCM of 1812 and 1817

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

LCM of:
and

Least Common Multiple of 1812 and 1817

LCM of 1812 and 1817 is 3292404

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1817. First we will calculate the prime factors of 1812 and 1817.

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 1817


23 1817
79 79
1

Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:

1817 = 231×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1817.

LCM(1812,1817) = 22×31×231×791×1511
LCM(1812,1817) = 3292404

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 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1, 23, 79, 1817

Least Common Multiple of 1812 and 1817 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 1817, than apply into the LCM equation.

GCF(1812,1817) = 1
LCM(1812,1817) = ( 1812 × 1817) / 1
LCM(1812,1817) = 3292404 / 1
LCM(1812,1817) = 3292404

Properties of LCM 1812 and 1817

(i) The LCM of 1817 and 1812 is associative

LCM of 1812 and 1817 = LCM of 1817 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1817

Frequently Asked Questions on LCM of 1812 and 1817

1. What is the LCM of 1812 and 1817?

Answer: LCM of 1812 and 1817 is 3292404.

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 1817?

Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.

4. How to Find the LCM of 1812 and 1817?

Answer:

Least Common Multiple of 1812 and 1817 = 3292404

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1817

1817 = 23 x 79

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

LCM = 3292404 = 2 x 2 x 3 x 23 x 79 x 151

Step 4: Therefore, the least common multiple of 1812 and 1817 is 3292404.