Least Common Multiple of 828 and 835

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 835 the smallest integer that is 691380 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 835 is 691380.

LCM(828,835) = 691380

LCM of 828 and 835

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

LCM of:
and

Least Common Multiple of 828 and 835

LCM of 828 and 835 is 691380

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 835. First we will calculate the prime factors of 828 and 835.

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 835


5 835
167 167
1

Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:

835 = 51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 828 and 835.

LCM(828,835) = 22×32×51×231×1671
LCM(828,835) = 691380

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 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Least Common Multiple of 828 and 835 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 835, than apply into the LCM equation.

GCF(828,835) = 1
LCM(828,835) = ( 828 × 835) / 1
LCM(828,835) = 691380 / 1
LCM(828,835) = 691380

Properties of LCM 828 and 835

(i) The LCM of 835 and 828 is associative

LCM of 828 and 835 = LCM of 835 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 835

Frequently Asked Questions on LCM of 828 and 835

1. What is the LCM of 828 and 835?

Answer: LCM of 828 and 835 is 691380.

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 835?

Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.

4. How to Find the LCM of 828 and 835?

Answer:

Least Common Multiple of 828 and 835 = 691380

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 835

835 = 5 x 167

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

LCM = 691380 = 2 x 2 x 3 x 3 x 5 x 23 x 167

Step 4: Therefore, the least common multiple of 828 and 835 is 691380.