Least Common Multiple of 816 and 823

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 823 the smallest integer that is 671568 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 823 is 671568.

LCM(816,823) = 671568

LCM of 816 and 823

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

LCM of:
and

Least Common Multiple of 816 and 823

LCM of 816 and 823 is 671568

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 823. First we will calculate the prime factors of 816 and 823.

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 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 816 and 823.

LCM(816,823) = 24×31×171×8231
LCM(816,823) = 671568

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 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

Least Common Multiple of 816 and 823 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 823, than apply into the LCM equation.

GCF(816,823) = 1
LCM(816,823) = ( 816 × 823) / 1
LCM(816,823) = 671568 / 1
LCM(816,823) = 671568

Properties of LCM 816 and 823

(i) The LCM of 823 and 816 is associative

LCM of 816 and 823 = LCM of 823 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 823

Frequently Asked Questions on LCM of 816 and 823

1. What is the LCM of 816 and 823?

Answer: LCM of 816 and 823 is 671568.

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 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

4. How to Find the LCM of 816 and 823?

Answer:

Least Common Multiple of 816 and 823 = 671568

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 823

823 = 823

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

LCM = 671568 = 2 x 2 x 2 x 2 x 3 x 17 x 823

Step 4: Therefore, the least common multiple of 816 and 823 is 671568.