Least Common Multiple of 828 and 832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 828 and 832 the smallest integer that is 172224 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 832 is 172224.

LCM(828,832) = 172224

LCM of 828 and 832

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

LCM of:
and

Least Common Multiple of 828 and 832

LCM of 828 and 832 is 172224

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 832. First we will calculate the prime factors of 828 and 832.

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

Prime Factorization of 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 832.

LCM(828,832) = 26×32×131×231
LCM(828,832) = 172224

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

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Least Common Multiple of 828 and 832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 828 and 832, than apply into the LCM equation.

GCF(828,832) = 4
LCM(828,832) = ( 828 × 832) / 4
LCM(828,832) = 688896 / 4
LCM(828,832) = 172224

Properties of LCM 828 and 832

(i) The LCM of 832 and 828 is associative

LCM of 828 and 832 = LCM of 832 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 832

Frequently Asked Questions on LCM of 828 and 832

1. What is the LCM of 828 and 832?

Answer: LCM of 828 and 832 is 172224.

2. 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.

3. What are the Factors of 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

4. How to Find the LCM of 828 and 832?

Answer:

Least Common Multiple of 828 and 832 = 172224

Step 1: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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

LCM = 172224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 23

Step 4: Therefore, the least common multiple of 828 and 832 is 172224.