Least Common Multiple of 1816 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 1816 and 1820 the smallest integer that is 826280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1816 and 1820 is 826280.

LCM(1816,1820) = 826280

LCM of 1816 and 1820

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

LCM of:
and

Least Common Multiple of 1816 and 1820

LCM of 1816 and 1820 is 826280

Least common multiple can be found by multiplying the highest exponent prime factors of 1816 and 1820. First we will calculate the prime factors of 1816 and 1820.

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

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 1816 and 1820.

LCM(1816,1820) = 23×51×71×131×2271
LCM(1816,1820) = 826280

Factors of 1816

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

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

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 1816 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 1816 and 1820, than apply into the LCM equation.

GCF(1816,1820) = 4
LCM(1816,1820) = ( 1816 × 1820) / 4
LCM(1816,1820) = 3305120 / 4
LCM(1816,1820) = 826280

Properties of LCM 1816 and 1820

(i) The LCM of 1820 and 1816 is associative

LCM of 1816 and 1820 = LCM of 1820 and 1816

Related Least Common Multiples of 1816

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1816 and 1820

1. What is the LCM of 1816 and 1820?

Answer: LCM of 1816 and 1820 is 826280.

2. 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.

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 1816 and 1820?

Answer:

Least Common Multiple of 1816 and 1820 = 826280

Step 1: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

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 = 826280 = 2 x 2 x 2 x 5 x 7 x 13 x 227

Step 4: Therefore, the least common multiple of 1816 and 1820 is 826280.