Least Common Multiple of 1812 and 1820

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 1820 the smallest integer that is 824460 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1820 is 824460.

LCM(1812,1820) = 824460

LCM of 1812 and 1820

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

LCM of:
and

Least Common Multiple of 1812 and 1820

LCM of 1812 and 1820 is 824460

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1820. First we will calculate the prime factors of 1812 and 1820.

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 1820


2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 1820 are 2, 5, 7,13. Prime factorization of 1820 in exponential form is:

1820 = 22×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1820.

LCM(1812,1820) = 22×31×51×71×131×1511
LCM(1812,1820) = 824460

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 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

Least Common Multiple of 1812 and 1820 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 1820, than apply into the LCM equation.

GCF(1812,1820) = 4
LCM(1812,1820) = ( 1812 × 1820) / 4
LCM(1812,1820) = 3297840 / 4
LCM(1812,1820) = 824460

Properties of LCM 1812 and 1820

(i) The LCM of 1820 and 1812 is associative

LCM of 1812 and 1820 = LCM of 1820 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1812 and 1820

1. What is the LCM of 1812 and 1820?

Answer: LCM of 1812 and 1820 is 824460.

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 1820?

Answer: Factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820. There are 24 integers that are factors of 1820. The greatest factor of 1820 is 1820.

4. How to Find the LCM of 1812 and 1820?

Answer:

Least Common Multiple of 1812 and 1820 = 824460

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1820

1820 = 2 x 2 x 5 x 7 x 13

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

LCM = 824460 = 2 x 2 x 3 x 5 x 7 x 13 x 151

Step 4: Therefore, the least common multiple of 1812 and 1820 is 824460.