Least Common Multiple of 816 and 817

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 817 the smallest integer that is 666672 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 817 is 666672.

LCM(816,817) = 666672

LCM of 816 and 817

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

LCM of:
and

Least Common Multiple of 816 and 817

LCM of 816 and 817 is 666672

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 817. First we will calculate the prime factors of 816 and 817.

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 817


19 817
43 43
1

Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:

817 = 191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 816 and 817.

LCM(816,817) = 24×31×171×191×431
LCM(816,817) = 666672

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 817

List of positive integer factors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Least Common Multiple of 816 and 817 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 817, than apply into the LCM equation.

GCF(816,817) = 1
LCM(816,817) = ( 816 × 817) / 1
LCM(816,817) = 666672 / 1
LCM(816,817) = 666672

Properties of LCM 816 and 817

(i) The LCM of 817 and 816 is associative

LCM of 816 and 817 = LCM of 817 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 817

Frequently Asked Questions on LCM of 816 and 817

1. What is the LCM of 816 and 817?

Answer: LCM of 816 and 817 is 666672.

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 817?

Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.

4. How to Find the LCM of 816 and 817?

Answer:

Least Common Multiple of 816 and 817 = 666672

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 817

817 = 19 x 43

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

LCM = 666672 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 816 and 817 is 666672.