Least Common Multiple of 816 and 824

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 824 the smallest integer that is 84048 that is divisible by both numbers.

Least Common Multiple (LCM) of 816 and 824 is 84048.

LCM(816,824) = 84048

LCM of 816 and 824

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

LCM of:
and

Least Common Multiple of 816 and 824

LCM of 816 and 824 is 84048

Least common multiple can be found by multiplying the highest exponent prime factors of 816 and 824. First we will calculate the prime factors of 816 and 824.

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 824


2 824
2 412
2 206
103 103
1

Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:

824 = 23×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 816 and 824.

LCM(816,824) = 24×31×171×1031
LCM(816,824) = 84048

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 824

List of positive integer factors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Least Common Multiple of 816 and 824 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 824, than apply into the LCM equation.

GCF(816,824) = 8
LCM(816,824) = ( 816 × 824) / 8
LCM(816,824) = 672384 / 8
LCM(816,824) = 84048

Properties of LCM 816 and 824

(i) The LCM of 824 and 816 is associative

LCM of 816 and 824 = LCM of 824 and 816

Related Least Common Multiples of 816

Related Least Common Multiples of 824

Frequently Asked Questions on LCM of 816 and 824

1. What is the LCM of 816 and 824?

Answer: LCM of 816 and 824 is 84048.

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 824?

Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.

4. How to Find the LCM of 816 and 824?

Answer:

Least Common Multiple of 816 and 824 = 84048

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 824

824 = 2 x 2 x 2 x 103

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

LCM = 84048 = 2 x 2 x 2 x 2 x 3 x 17 x 103

Step 4: Therefore, the least common multiple of 816 and 824 is 84048.