Least Common Multiple of 813 and 818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 813 and 818 the smallest integer that is 665034 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 818 is 665034.

LCM(813,818) = 665034

LCM of 813 and 818

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

LCM of:
and

Least Common Multiple of 813 and 818

LCM of 813 and 818 is 665034

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 818. First we will calculate the prime factors of 813 and 818.

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 813 and 818.

LCM(813,818) = 21×31×2711×4091
LCM(813,818) = 665034

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Factors of 818

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

1, 2, 409, 818

Least Common Multiple of 813 and 818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 813 and 818, than apply into the LCM equation.

GCF(813,818) = 1
LCM(813,818) = ( 813 × 818) / 1
LCM(813,818) = 665034 / 1
LCM(813,818) = 665034

Properties of LCM 813 and 818

(i) The LCM of 818 and 813 is associative

LCM of 813 and 818 = LCM of 818 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 818

Frequently Asked Questions on LCM of 813 and 818

1. What is the LCM of 813 and 818?

Answer: LCM of 813 and 818 is 665034.

2. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

3. 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.

4. How to Find the LCM of 813 and 818?

Answer:

Least Common Multiple of 813 and 818 = 665034

Step 1: Find the prime factorization of 813

813 = 3 x 271

Step 2: Find the prime factorization of 818

818 = 2 x 409

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

LCM = 665034 = 2 x 3 x 271 x 409

Step 4: Therefore, the least common multiple of 813 and 818 is 665034.