Least Common Multiple of 814 and 822

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 822 the smallest integer that is 334554 that is divisible by both numbers.

Least Common Multiple (LCM) of 814 and 822 is 334554.

LCM(814,822) = 334554

LCM of 814 and 822

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

LCM of:
and

Least Common Multiple of 814 and 822

LCM of 814 and 822 is 334554

Least common multiple can be found by multiplying the highest exponent prime factors of 814 and 822. First we will calculate the prime factors of 814 and 822.

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 822


2 822
3 411
137 137
1

Prime factors of 822 are 2, 3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 814 and 822.

LCM(814,822) = 21×31×111×371×1371
LCM(814,822) = 334554

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 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Least Common Multiple of 814 and 822 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 822, than apply into the LCM equation.

GCF(814,822) = 2
LCM(814,822) = ( 814 × 822) / 2
LCM(814,822) = 669108 / 2
LCM(814,822) = 334554

Properties of LCM 814 and 822

(i) The LCM of 822 and 814 is associative

LCM of 814 and 822 = LCM of 822 and 814

Related Least Common Multiples of 814

Related Least Common Multiples of 822

Frequently Asked Questions on LCM of 814 and 822

1. What is the LCM of 814 and 822?

Answer: LCM of 814 and 822 is 334554.

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 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

4. How to Find the LCM of 814 and 822?

Answer:

Least Common Multiple of 814 and 822 = 334554

Step 1: Find the prime factorization of 814

814 = 2 x 11 x 37

Step 2: Find the prime factorization of 822

822 = 2 x 3 x 137

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

LCM = 334554 = 2 x 3 x 11 x 37 x 137

Step 4: Therefore, the least common multiple of 814 and 822 is 334554.