Least Common Multiple of 827 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 827 and 828 the smallest integer that is 684756 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 828 is 684756.

LCM(827,828) = 684756

LCM of 827 and 828

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

LCM of:
and

Least Common Multiple of 827 and 828

LCM of 827 and 828 is 684756

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 828. First we will calculate the prime factors of 827 and 828.

Prime Factorization of 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

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 827 and 828.

LCM(827,828) = 22×32×231×8271
LCM(827,828) = 684756

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1, 827

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 827 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 827 and 828, than apply into the LCM equation.

GCF(827,828) = 1
LCM(827,828) = ( 827 × 828) / 1
LCM(827,828) = 684756 / 1
LCM(827,828) = 684756

Properties of LCM 827 and 828

(i) The LCM of 828 and 827 is associative

LCM of 827 and 828 = LCM of 828 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 828

Frequently Asked Questions on LCM of 827 and 828

1. What is the LCM of 827 and 828?

Answer: LCM of 827 and 828 is 684756.

2. What are the Factors of 827?

Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.

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 827 and 828?

Answer:

Least Common Multiple of 827 and 828 = 684756

Step 1: Find the prime factorization of 827

827 = 827

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 = 684756 = 2 x 2 x 3 x 3 x 23 x 827

Step 4: Therefore, the least common multiple of 827 and 828 is 684756.