Least Common Multiple of 816 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 816 and 818 the smallest integer that is 333744 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 818 is 333744.

LCM(816,818) = 333744

LCM of 816 and 818

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

LCM of:
and

Least Common Multiple of 816 and 818

LCM of 816 and 818 is 333744

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 818. First we will calculate the prime factors of 816 and 818.

Prime Factorization of 816


2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 816 are 2, 3,17. Prime factorization of 816 in exponential form is:

816 = 24×31×171

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 816 and 818.

LCM(816,818) = 24×31×171×4091
LCM(816,818) = 333744

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Factors of 818

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

1, 2, 409, 818

Least Common Multiple of 816 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 816 and 818, than apply into the LCM equation.

GCF(816,818) = 2
LCM(816,818) = ( 816 × 818) / 2
LCM(816,818) = 667488 / 2
LCM(816,818) = 333744

Properties of LCM 816 and 818

(i) The LCM of 818 and 816 is associative

LCM of 816 and 818 = LCM of 818 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 818

Frequently Asked Questions on LCM of 816 and 818

1. What is the LCM of 816 and 818?

Answer: LCM of 816 and 818 is 333744.

2. What are the Factors of 816?

Answer: Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. There are 20 integers that are factors of 816. The greatest factor of 816 is 816.

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 816 and 818?

Answer:

Least Common Multiple of 816 and 818 = 333744

Step 1: Find the prime factorization of 816

816 = 2 x 2 x 2 x 2 x 3 x 17

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 = 333744 = 2 x 2 x 2 x 2 x 3 x 17 x 409

Step 4: Therefore, the least common multiple of 816 and 818 is 333744.