Least Common Multiple of 823 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 823 and 824 the smallest integer that is 678152 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 824 is 678152.

LCM(823,824) = 678152

LCM of 823 and 824

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

LCM of:
and

Least Common Multiple of 823 and 824

LCM of 823 and 824 is 678152

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 824. First we will calculate the prime factors of 823 and 824.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

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 823 and 824.

LCM(823,824) = 23×1031×8231
LCM(823,824) = 678152

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

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 823 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 823 and 824, than apply into the LCM equation.

GCF(823,824) = 1
LCM(823,824) = ( 823 × 824) / 1
LCM(823,824) = 678152 / 1
LCM(823,824) = 678152

Properties of LCM 823 and 824

(i) The LCM of 824 and 823 is associative

LCM of 823 and 824 = LCM of 824 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 824

Frequently Asked Questions on LCM of 823 and 824

1. What is the LCM of 823 and 824?

Answer: LCM of 823 and 824 is 678152.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

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 823 and 824?

Answer:

Least Common Multiple of 823 and 824 = 678152

Step 1: Find the prime factorization of 823

823 = 823

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 = 678152 = 2 x 2 x 2 x 103 x 823

Step 4: Therefore, the least common multiple of 823 and 824 is 678152.