Least Common Multiple of 823 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 823 and 827 the smallest integer that is 680621 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 827 is 680621.

LCM(823,827) = 680621

LCM of 823 and 827

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

LCM of:
and

Least Common Multiple of 823 and 827

LCM of 823 and 827 is 680621

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 827. First we will calculate the prime factors of 823 and 827.

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

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 823 and 827.

LCM(823,827) = 8231×8271
LCM(823,827) = 680621

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1, 823

Factors of 827

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

1, 827

Least Common Multiple of 823 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 823 and 827, than apply into the LCM equation.

GCF(823,827) = 1
LCM(823,827) = ( 823 × 827) / 1
LCM(823,827) = 680621 / 1
LCM(823,827) = 680621

Properties of LCM 823 and 827

(i) The LCM of 827 and 823 is associative

LCM of 823 and 827 = LCM of 827 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 827

Frequently Asked Questions on LCM of 823 and 827

1. What is the LCM of 823 and 827?

Answer: LCM of 823 and 827 is 680621.

2. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

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 823 and 827?

Answer:

Least Common Multiple of 823 and 827 = 680621

Step 1: Find the prime factorization of 823

823 = 823

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 = 680621 = 823 x 827

Step 4: Therefore, the least common multiple of 823 and 827 is 680621.