Least Common Multiple of 56828 and 56835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 56828 and 56835 the smallest integer that is 3229819380 that is divisible by both numbers.

Least Common Multiple (LCM) of 56828 and 56835 is 3229819380.

LCM(56828,56835) = 3229819380

LCM of 56828 and 56835

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

LCM of:
and

Least Common Multiple of 56828 and 56835

LCM of 56828 and 56835 is 3229819380

Least common multiple can be found by multiplying the highest exponent prime factors of 56828 and 56835. First we will calculate the prime factors of 56828 and 56835.

Prime Factorization of 56828


2 56828
2 28414
14207 14207
1

Prime factors of 56828 are 2,14207. Prime factorization of 56828 in exponential form is:

56828 = 22×142071

Prime Factorization of 56835


3 56835
3 18945
3 6315
5 2105
421 421
1

Prime factors of 56835 are 3, 5,421. Prime factorization of 56835 in exponential form is:

56835 = 33×51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 56828 and 56835.

LCM(56828,56835) = 22×33×51×4211×142071
LCM(56828,56835) = 3229819380

Factors of 56828

List of positive integer factors of 56828 that divides 56828 without a remainder.

1, 2, 4, 14207, 28414, 56828

Factors of 56835

List of positive integer factors of 56835 that divides 56835 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 421, 1263, 2105, 3789, 6315, 11367, 18945, 56835

Least Common Multiple of 56828 and 56835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56828 and 56835, than apply into the LCM equation.

GCF(56828,56835) = 1
LCM(56828,56835) = ( 56828 × 56835) / 1
LCM(56828,56835) = 3229819380 / 1
LCM(56828,56835) = 3229819380

Properties of LCM 56828 and 56835

(i) The LCM of 56835 and 56828 is associative

LCM of 56828 and 56835 = LCM of 56835 and 56828

Related Least Common Multiples of 56828

Related Least Common Multiples of 56835

Frequently Asked Questions on LCM of 56828 and 56835

1. What is the LCM of 56828 and 56835?

Answer: LCM of 56828 and 56835 is 3229819380.

2. What are the Factors of 56828?

Answer: Factors of 56828 are 1, 2, 4, 14207, 28414, 56828. There are 6 integers that are factors of 56828. The greatest factor of 56828 is 56828.

3. What are the Factors of 56835?

Answer: Factors of 56835 are 1, 3, 5, 9, 15, 27, 45, 135, 421, 1263, 2105, 3789, 6315, 11367, 18945, 56835. There are 16 integers that are factors of 56835. The greatest factor of 56835 is 56835.

4. How to Find the LCM of 56828 and 56835?

Answer:

Least Common Multiple of 56828 and 56835 = 3229819380

Step 1: Find the prime factorization of 56828

56828 = 2 x 2 x 14207

Step 2: Find the prime factorization of 56835

56835 = 3 x 3 x 3 x 5 x 421

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

LCM = 3229819380 = 2 x 2 x 3 x 3 x 3 x 5 x 421 x 14207

Step 4: Therefore, the least common multiple of 56828 and 56835 is 3229819380.