Least Common Multiple of 828 and 833

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 833 the smallest integer that is 689724 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 833 is 689724.

LCM(828,833) = 689724

LCM of 828 and 833

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

LCM of:
and

Least Common Multiple of 828 and 833

LCM of 828 and 833 is 689724

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 833. First we will calculate the prime factors of 828 and 833.

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 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 833.

LCM(828,833) = 22×32×72×171×231
LCM(828,833) = 689724

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 833

List of positive integer factors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Least Common Multiple of 828 and 833 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 833, than apply into the LCM equation.

GCF(828,833) = 1
LCM(828,833) = ( 828 × 833) / 1
LCM(828,833) = 689724 / 1
LCM(828,833) = 689724

Properties of LCM 828 and 833

(i) The LCM of 833 and 828 is associative

LCM of 828 and 833 = LCM of 833 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 833

Frequently Asked Questions on LCM of 828 and 833

1. What is the LCM of 828 and 833?

Answer: LCM of 828 and 833 is 689724.

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 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

4. How to Find the LCM of 828 and 833?

Answer:

Least Common Multiple of 828 and 833 = 689724

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 833

833 = 7 x 7 x 17

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

LCM = 689724 = 2 x 2 x 3 x 3 x 7 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 828 and 833 is 689724.