Least Common Multiple of 816 and 820

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 820 the smallest integer that is 167280 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 820 is 167280.

LCM(816,820) = 167280

LCM of 816 and 820

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

LCM of:
and

Least Common Multiple of 816 and 820

LCM of 816 and 820 is 167280

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 820. First we will calculate the prime factors of 816 and 820.

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 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2, 5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 816 and 820.

LCM(816,820) = 24×31×51×171×411
LCM(816,820) = 167280

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 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Least Common Multiple of 816 and 820 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 820, than apply into the LCM equation.

GCF(816,820) = 4
LCM(816,820) = ( 816 × 820) / 4
LCM(816,820) = 669120 / 4
LCM(816,820) = 167280

Properties of LCM 816 and 820

(i) The LCM of 820 and 816 is associative

LCM of 816 and 820 = LCM of 820 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 816 and 820

1. What is the LCM of 816 and 820?

Answer: LCM of 816 and 820 is 167280.

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 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

4. How to Find the LCM of 816 and 820?

Answer:

Least Common Multiple of 816 and 820 = 167280

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 820

820 = 2 x 2 x 5 x 41

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

LCM = 167280 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 41

Step 4: Therefore, the least common multiple of 816 and 820 is 167280.