Least Common Multiple of 1812 and 1818

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 1818 the smallest integer that is 549036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1818 is 549036.

LCM(1812,1818) = 549036

LCM of 1812 and 1818

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

LCM of:
and

Least Common Multiple of 1812 and 1818

LCM of 1812 and 1818 is 549036

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1818. First we will calculate the prime factors of 1812 and 1818.

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 1818


2 1818
3 909
3 303
101 101
1

Prime factors of 1818 are 2, 3,101. Prime factorization of 1818 in exponential form is:

1818 = 21×32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1818.

LCM(1812,1818) = 22×32×1011×1511
LCM(1812,1818) = 549036

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 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818

Least Common Multiple of 1812 and 1818 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 1818, than apply into the LCM equation.

GCF(1812,1818) = 6
LCM(1812,1818) = ( 1812 × 1818) / 6
LCM(1812,1818) = 3294216 / 6
LCM(1812,1818) = 549036

Properties of LCM 1812 and 1818

(i) The LCM of 1818 and 1812 is associative

LCM of 1812 and 1818 = LCM of 1818 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1818

Frequently Asked Questions on LCM of 1812 and 1818

1. What is the LCM of 1812 and 1818?

Answer: LCM of 1812 and 1818 is 549036.

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 1818?

Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.

4. How to Find the LCM of 1812 and 1818?

Answer:

Least Common Multiple of 1812 and 1818 = 549036

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

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

LCM = 549036 = 2 x 2 x 3 x 3 x 101 x 151

Step 4: Therefore, the least common multiple of 1812 and 1818 is 549036.