Least Common Multiple of 816 and 821

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 821 the smallest integer that is 669936 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 821 is 669936.

LCM(816,821) = 669936

LCM of 816 and 821

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

LCM of:
and

Least Common Multiple of 816 and 821

LCM of 816 and 821 is 669936

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 821. First we will calculate the prime factors of 816 and 821.

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 821


821 821
1

Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:

821 = 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 816 and 821.

LCM(816,821) = 24×31×171×8211
LCM(816,821) = 669936

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 821

List of positive integer factors of 821 that divides 821 without a remainder.

1, 821

Least Common Multiple of 816 and 821 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 821, than apply into the LCM equation.

GCF(816,821) = 1
LCM(816,821) = ( 816 × 821) / 1
LCM(816,821) = 669936 / 1
LCM(816,821) = 669936

Properties of LCM 816 and 821

(i) The LCM of 821 and 816 is associative

LCM of 816 and 821 = LCM of 821 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 821

Frequently Asked Questions on LCM of 816 and 821

1. What is the LCM of 816 and 821?

Answer: LCM of 816 and 821 is 669936.

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 821?

Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.

4. How to Find the LCM of 816 and 821?

Answer:

Least Common Multiple of 816 and 821 = 669936

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 821

821 = 821

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

LCM = 669936 = 2 x 2 x 2 x 2 x 3 x 17 x 821

Step 4: Therefore, the least common multiple of 816 and 821 is 669936.