Least Common Multiple of 821 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 821 and 824 the smallest integer that is 676504 that is divisible by both numbers.

Least Common Multiple (LCM) of 821 and 824 is 676504.

LCM(821,824) = 676504

LCM of 821 and 824

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

LCM of:
and

Least Common Multiple of 821 and 824

LCM of 821 and 824 is 676504

Least common multiple can be found by multiplying the highest exponent prime factors of 821 and 824. First we will calculate the prime factors of 821 and 824.

Prime Factorization of 821


821 821
1

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

821 = 8211

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 821 and 824.

LCM(821,824) = 23×1031×8211
LCM(821,824) = 676504

Factors of 821

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

1, 821

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 821 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 821 and 824, than apply into the LCM equation.

GCF(821,824) = 1
LCM(821,824) = ( 821 × 824) / 1
LCM(821,824) = 676504 / 1
LCM(821,824) = 676504

Properties of LCM 821 and 824

(i) The LCM of 824 and 821 is associative

LCM of 821 and 824 = LCM of 824 and 821

Related Least Common Multiples of 821

Related Least Common Multiples of 824

Frequently Asked Questions on LCM of 821 and 824

1. What is the LCM of 821 and 824?

Answer: LCM of 821 and 824 is 676504.

2. 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.

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 821 and 824?

Answer:

Least Common Multiple of 821 and 824 = 676504

Step 1: Find the prime factorization of 821

821 = 821

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 = 676504 = 2 x 2 x 2 x 103 x 821

Step 4: Therefore, the least common multiple of 821 and 824 is 676504.