Least Common Multiple of 817 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 817 and 822 the smallest integer that is 671574 that is divisible by both numbers.

Least Common Multiple (LCM) of 817 and 822 is 671574.

LCM(817,822) = 671574

LCM of 817 and 822

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

LCM of:
and

Least Common Multiple of 817 and 822

LCM of 817 and 822 is 671574

Least common multiple can be found by multiplying the highest exponent prime factors of 817 and 822. First we will calculate the prime factors of 817 and 822.

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

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 817 and 822.

LCM(817,822) = 21×31×191×431×1371
LCM(817,822) = 671574

Factors of 817

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

1, 19, 43, 817

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 817 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 817 and 822, than apply into the LCM equation.

GCF(817,822) = 1
LCM(817,822) = ( 817 × 822) / 1
LCM(817,822) = 671574 / 1
LCM(817,822) = 671574

Properties of LCM 817 and 822

(i) The LCM of 822 and 817 is associative

LCM of 817 and 822 = LCM of 822 and 817

Related Least Common Multiples of 817

Related Least Common Multiples of 822

Frequently Asked Questions on LCM of 817 and 822

1. What is the LCM of 817 and 822?

Answer: LCM of 817 and 822 is 671574.

2. 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.

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 817 and 822?

Answer:

Least Common Multiple of 817 and 822 = 671574

Step 1: Find the prime factorization of 817

817 = 19 x 43

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 = 671574 = 2 x 3 x 19 x 43 x 137

Step 4: Therefore, the least common multiple of 817 and 822 is 671574.