Least Common Multiple of 824 and 828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 824 and 828 the smallest integer that is 170568 that is divisible by both numbers.

Least Common Multiple (LCM) of 824 and 828 is 170568.

LCM(824,828) = 170568

LCM of 824 and 828

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

LCM of:
and

Least Common Multiple of 824 and 828

LCM of 824 and 828 is 170568

Least common multiple can be found by multiplying the highest exponent prime factors of 824 and 828. First we will calculate the prime factors of 824 and 828.

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

Prime Factorization of 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 824 and 828.

LCM(824,828) = 23×32×231×1031
LCM(824,828) = 170568

Factors of 824

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

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

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Least Common Multiple of 824 and 828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 824 and 828, than apply into the LCM equation.

GCF(824,828) = 4
LCM(824,828) = ( 824 × 828) / 4
LCM(824,828) = 682272 / 4
LCM(824,828) = 170568

Properties of LCM 824 and 828

(i) The LCM of 828 and 824 is associative

LCM of 824 and 828 = LCM of 828 and 824

Related Least Common Multiples of 824

Related Least Common Multiples of 828

Frequently Asked Questions on LCM of 824 and 828

1. What is the LCM of 824 and 828?

Answer: LCM of 824 and 828 is 170568.

2. 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.

3. What are the Factors of 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

4. How to Find the LCM of 824 and 828?

Answer:

Least Common Multiple of 824 and 828 = 170568

Step 1: Find the prime factorization of 824

824 = 2 x 2 x 2 x 103

Step 2: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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

LCM = 170568 = 2 x 2 x 2 x 3 x 3 x 23 x 103

Step 4: Therefore, the least common multiple of 824 and 828 is 170568.