Least Common Multiple of 1818 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 1818 and 1820 the smallest integer that is 1654380 that is divisible by both numbers.

Least Common Multiple (LCM) of 1818 and 1820 is 1654380.

LCM(1818,1820) = 1654380

LCM of 1818 and 1820

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

LCM of:
and

Least Common Multiple of 1818 and 1820

LCM of 1818 and 1820 is 1654380

Least common multiple can be found by multiplying the highest exponent prime factors of 1818 and 1820. First we will calculate the prime factors of 1818 and 1820.

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

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 1818 and 1820.

LCM(1818,1820) = 22×32×51×71×131×1011
LCM(1818,1820) = 1654380

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

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 1818 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 1818 and 1820, than apply into the LCM equation.

GCF(1818,1820) = 2
LCM(1818,1820) = ( 1818 × 1820) / 2
LCM(1818,1820) = 3308760 / 2
LCM(1818,1820) = 1654380

Properties of LCM 1818 and 1820

(i) The LCM of 1820 and 1818 is associative

LCM of 1818 and 1820 = LCM of 1820 and 1818

Related Least Common Multiples of 1818

Related Least Common Multiples of 1820

Frequently Asked Questions on LCM of 1818 and 1820

1. What is the LCM of 1818 and 1820?

Answer: LCM of 1818 and 1820 is 1654380.

2. 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.

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 1818 and 1820?

Answer:

Least Common Multiple of 1818 and 1820 = 1654380

Step 1: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

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 = 1654380 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 101

Step 4: Therefore, the least common multiple of 1818 and 1820 is 1654380.