Least Common Multiple of 818 and 820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 818 and 820 the smallest integer that is 335380 that is divisible by both numbers.

Least Common Multiple (LCM) of 818 and 820 is 335380.

LCM(818,820) = 335380

LCM of 818 and 820

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

LCM of:
and

Least Common Multiple of 818 and 820

LCM of 818 and 820 is 335380

Least common multiple can be found by multiplying the highest exponent prime factors of 818 and 820. First we will calculate the prime factors of 818 and 820.

Prime Factorization of 818


2 818
409 409
1

Prime factors of 818 are 2,409. Prime factorization of 818 in exponential form is:

818 = 21×4091

Prime Factorization of 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2, 5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 818 and 820.

LCM(818,820) = 22×51×411×4091
LCM(818,820) = 335380

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Least Common Multiple of 818 and 820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 818 and 820, than apply into the LCM equation.

GCF(818,820) = 2
LCM(818,820) = ( 818 × 820) / 2
LCM(818,820) = 670760 / 2
LCM(818,820) = 335380

Properties of LCM 818 and 820

(i) The LCM of 820 and 818 is associative

LCM of 818 and 820 = LCM of 820 and 818

Related Least Common Multiples of 818

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 818 and 820

1. What is the LCM of 818 and 820?

Answer: LCM of 818 and 820 is 335380.

2. What are the Factors of 818?

Answer: Factors of 818 are 1, 2, 409, 818. There are 4 integers that are factors of 818. The greatest factor of 818 is 818.

3. What are the Factors of 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

4. How to Find the LCM of 818 and 820?

Answer:

Least Common Multiple of 818 and 820 = 335380

Step 1: Find the prime factorization of 818

818 = 2 x 409

Step 2: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

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

LCM = 335380 = 2 x 2 x 5 x 41 x 409

Step 4: Therefore, the least common multiple of 818 and 820 is 335380.