Least Common Multiple of 814 and 816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 814 and 816 the smallest integer that is 332112 that is divisible by both numbers.

Least Common Multiple (LCM) of 814 and 816 is 332112.

LCM(814,816) = 332112

LCM of 814 and 816

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

LCM of:
and

Least Common Multiple of 814 and 816

LCM of 814 and 816 is 332112

Least common multiple can be found by multiplying the highest exponent prime factors of 814 and 816. First we will calculate the prime factors of 814 and 816.

Prime Factorization of 814


2 814
11 407
37 37
1

Prime factors of 814 are 2, 11,37. Prime factorization of 814 in exponential form is:

814 = 21×111×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 814 and 816.

LCM(814,816) = 24×31×111×171×371
LCM(814,816) = 332112

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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

Least Common Multiple of 814 and 816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 814 and 816, than apply into the LCM equation.

GCF(814,816) = 2
LCM(814,816) = ( 814 × 816) / 2
LCM(814,816) = 664224 / 2
LCM(814,816) = 332112

Properties of LCM 814 and 816

(i) The LCM of 816 and 814 is associative

LCM of 814 and 816 = LCM of 816 and 814

Related Least Common Multiples of 814

Related Least Common Multiples of 816

Frequently Asked Questions on LCM of 814 and 816

1. What is the LCM of 814 and 816?

Answer: LCM of 814 and 816 is 332112.

2. What are the Factors of 814?

Answer: Factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814. There are 8 integers that are factors of 814. The greatest factor of 814 is 814.

3. 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.

4. How to Find the LCM of 814 and 816?

Answer:

Least Common Multiple of 814 and 816 = 332112

Step 1: Find the prime factorization of 814

814 = 2 x 11 x 37

Step 2: Find the prime factorization of 816

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

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

LCM = 332112 = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 814 and 816 is 332112.