Least Common Multiple of 1812 and 1816

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 1816 the smallest integer that is 822648 that is divisible by both numbers.

Least Common Multiple (LCM) of 1812 and 1816 is 822648.

LCM(1812,1816) = 822648

LCM of 1812 and 1816

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

LCM of:
and

Least Common Multiple of 1812 and 1816

LCM of 1812 and 1816 is 822648

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1816. First we will calculate the prime factors of 1812 and 1816.

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 1816


2 1816
2 908
2 454
227 227
1

Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:

1816 = 23×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1816.

LCM(1812,1816) = 23×31×1511×2271
LCM(1812,1816) = 822648

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 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1, 2, 4, 8, 227, 454, 908, 1816

Least Common Multiple of 1812 and 1816 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 1816, than apply into the LCM equation.

GCF(1812,1816) = 4
LCM(1812,1816) = ( 1812 × 1816) / 4
LCM(1812,1816) = 3290592 / 4
LCM(1812,1816) = 822648

Properties of LCM 1812 and 1816

(i) The LCM of 1816 and 1812 is associative

LCM of 1812 and 1816 = LCM of 1816 and 1812

Related Least Common Multiples of 1812

Related Least Common Multiples of 1816

Frequently Asked Questions on LCM of 1812 and 1816

1. What is the LCM of 1812 and 1816?

Answer: LCM of 1812 and 1816 is 822648.

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 1816?

Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.

4. How to Find the LCM of 1812 and 1816?

Answer:

Least Common Multiple of 1812 and 1816 = 822648

Step 1: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

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

LCM = 822648 = 2 x 2 x 2 x 3 x 151 x 227

Step 4: Therefore, the least common multiple of 1812 and 1816 is 822648.