Least Common Multiple of 1817 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 1817 and 1820 the smallest integer that is 3306940 that is divisible by both numbers.

Least Common Multiple (LCM) of 1817 and 1820 is 3306940.

LCM(1817,1820) = 3306940

LCM of 1817 and 1820

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

LCM of:
and

Least Common Multiple of 1817 and 1820

LCM of 1817 and 1820 is 3306940

Least common multiple can be found by multiplying the highest exponent prime factors of 1817 and 1820. First we will calculate the prime factors of 1817 and 1820.

Prime Factorization of 1817


23 1817
79 79
1

Prime factors of 1817 are 23,79. Prime factorization of 1817 in exponential form is:

1817 = 231×791

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 1817 and 1820.

LCM(1817,1820) = 22×51×71×131×231×791
LCM(1817,1820) = 3306940

Factors of 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1, 23, 79, 1817

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 1817 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 1817 and 1820, than apply into the LCM equation.

GCF(1817,1820) = 1
LCM(1817,1820) = ( 1817 × 1820) / 1
LCM(1817,1820) = 3306940 / 1
LCM(1817,1820) = 3306940

Properties of LCM 1817 and 1820

(i) The LCM of 1820 and 1817 is associative

LCM of 1817 and 1820 = LCM of 1820 and 1817

Related Least Common Multiples of 1817

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1817 and 1820

1. What is the LCM of 1817 and 1820?

Answer: LCM of 1817 and 1820 is 3306940.

2. What are the Factors of 1817?

Answer: Factors of 1817 are 1, 23, 79, 1817. There are 4 integers that are factors of 1817. The greatest factor of 1817 is 1817.

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 1817 and 1820?

Answer:

Least Common Multiple of 1817 and 1820 = 3306940

Step 1: Find the prime factorization of 1817

1817 = 23 x 79

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 = 3306940 = 2 x 2 x 5 x 7 x 13 x 23 x 79

Step 4: Therefore, the least common multiple of 1817 and 1820 is 3306940.