Least Common Multiple of 823 and 830

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 830 the smallest integer that is 683090 that is divisible by both numbers.

Least Common Multiple (LCM) of 823 and 830 is 683090.

LCM(823,830) = 683090

LCM of 823 and 830

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

LCM of:
and

Least Common Multiple of 823 and 830

LCM of 823 and 830 is 683090

Least common multiple can be found by multiplying the highest exponent prime factors of 823 and 830. First we will calculate the prime factors of 823 and 830.

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 830


2 830
5 415
83 83
1

Prime factors of 830 are 2, 5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 823 and 830.

LCM(823,830) = 21×51×831×8231
LCM(823,830) = 683090

Factors of 823

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

1, 823

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Least Common Multiple of 823 and 830 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 830, than apply into the LCM equation.

GCF(823,830) = 1
LCM(823,830) = ( 823 × 830) / 1
LCM(823,830) = 683090 / 1
LCM(823,830) = 683090

Properties of LCM 823 and 830

(i) The LCM of 830 and 823 is associative

LCM of 823 and 830 = LCM of 830 and 823

Related Least Common Multiples of 823

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 823 and 830

1. What is the LCM of 823 and 830?

Answer: LCM of 823 and 830 is 683090.

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 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

4. How to Find the LCM of 823 and 830?

Answer:

Least Common Multiple of 823 and 830 = 683090

Step 1: Find the prime factorization of 823

823 = 823

Step 2: Find the prime factorization of 830

830 = 2 x 5 x 83

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

LCM = 683090 = 2 x 5 x 83 x 823

Step 4: Therefore, the least common multiple of 823 and 830 is 683090.