Least Common Multiple of 815 and 823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 815 and 823 the smallest integer that is 670745 that is divisible by both numbers.

Least Common Multiple (LCM) of 815 and 823 is 670745.

LCM(815,823) = 670745

LCM of 815 and 823

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

LCM of:
and

Least Common Multiple of 815 and 823

LCM of 815 and 823 is 670745

Least common multiple can be found by multiplying the highest exponent prime factors of 815 and 823. First we will calculate the prime factors of 815 and 823.

Prime Factorization of 815


5 815
163 163
1

Prime factors of 815 are 5,163. Prime factorization of 815 in exponential form is:

815 = 51×1631

Prime Factorization of 823


823 823
1

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

823 = 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 815 and 823.

LCM(815,823) = 51×1631×8231
LCM(815,823) = 670745

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Factors of 823

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

1, 823

Least Common Multiple of 815 and 823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 815 and 823, than apply into the LCM equation.

GCF(815,823) = 1
LCM(815,823) = ( 815 × 823) / 1
LCM(815,823) = 670745 / 1
LCM(815,823) = 670745

Properties of LCM 815 and 823

(i) The LCM of 823 and 815 is associative

LCM of 815 and 823 = LCM of 823 and 815

Related Least Common Multiples of 815

Related Least Common Multiples of 823

Frequently Asked Questions on LCM of 815 and 823

1. What is the LCM of 815 and 823?

Answer: LCM of 815 and 823 is 670745.

2. What are the Factors of 815?

Answer: Factors of 815 are 1, 5, 163, 815. There are 4 integers that are factors of 815. The greatest factor of 815 is 815.

3. 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.

4. How to Find the LCM of 815 and 823?

Answer:

Least Common Multiple of 815 and 823 = 670745

Step 1: Find the prime factorization of 815

815 = 5 x 163

Step 2: Find the prime factorization of 823

823 = 823

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

LCM = 670745 = 5 x 163 x 823

Step 4: Therefore, the least common multiple of 815 and 823 is 670745.