Least Common Multiple of 825 and 827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 825 and 827 the smallest integer that is 682275 that is divisible by both numbers.

Least Common Multiple (LCM) of 825 and 827 is 682275.

LCM(825,827) = 682275

LCM of 825 and 827

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

LCM of:
and

Least Common Multiple of 825 and 827

LCM of 825 and 827 is 682275

Least common multiple can be found by multiplying the highest exponent prime factors of 825 and 827. First we will calculate the prime factors of 825 and 827.

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3, 5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Prime Factorization of 827


827 827
1

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

827 = 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 825 and 827.

LCM(825,827) = 31×52×111×8271
LCM(825,827) = 682275

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Factors of 827

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

1, 827

Least Common Multiple of 825 and 827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 825 and 827, than apply into the LCM equation.

GCF(825,827) = 1
LCM(825,827) = ( 825 × 827) / 1
LCM(825,827) = 682275 / 1
LCM(825,827) = 682275

Properties of LCM 825 and 827

(i) The LCM of 827 and 825 is associative

LCM of 825 and 827 = LCM of 827 and 825

Related Least Common Multiples of 825

Related Least Common Multiples of 827

Frequently Asked Questions on LCM of 825 and 827

1. What is the LCM of 825 and 827?

Answer: LCM of 825 and 827 is 682275.

2. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

3. 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.

4. How to Find the LCM of 825 and 827?

Answer:

Least Common Multiple of 825 and 827 = 682275

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 827

827 = 827

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

LCM = 682275 = 3 x 5 x 5 x 11 x 827

Step 4: Therefore, the least common multiple of 825 and 827 is 682275.