Least Common Multiple of 1804 and 1812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1804 and 1812 the smallest integer that is 817212 that is divisible by both numbers.

Least Common Multiple (LCM) of 1804 and 1812 is 817212.

LCM(1804,1812) = 817212

LCM of 1804 and 1812

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

LCM of:
and

Least Common Multiple of 1804 and 1812

LCM of 1804 and 1812 is 817212

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1812. First we will calculate the prime factors of 1804 and 1812.

Prime Factorization of 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1812.

LCM(1804,1812) = 22×31×111×411×1511
LCM(1804,1812) = 817212

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

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

Least Common Multiple of 1804 and 1812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1804 and 1812, than apply into the LCM equation.

GCF(1804,1812) = 4
LCM(1804,1812) = ( 1804 × 1812) / 4
LCM(1804,1812) = 3268848 / 4
LCM(1804,1812) = 817212

Properties of LCM 1804 and 1812

(i) The LCM of 1812 and 1804 is associative

LCM of 1804 and 1812 = LCM of 1812 and 1804

Related Least Common Multiples of 1804

Related Least Common Multiples of 1812

Frequently Asked Questions on LCM of 1804 and 1812

1. What is the LCM of 1804 and 1812?

Answer: LCM of 1804 and 1812 is 817212.

2. What are the Factors of 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

3. 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.

4. How to Find the LCM of 1804 and 1812?

Answer:

Least Common Multiple of 1804 and 1812 = 817212

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

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

LCM = 817212 = 2 x 2 x 3 x 11 x 41 x 151

Step 4: Therefore, the least common multiple of 1804 and 1812 is 817212.