Least Common Multiple of 822 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 822 and 830 the smallest integer that is 341130 that is divisible by both numbers.

Least Common Multiple (LCM) of 822 and 830 is 341130.

LCM(822,830) = 341130

LCM of 822 and 830

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

LCM of:
and

Least Common Multiple of 822 and 830

LCM of 822 and 830 is 341130

Least common multiple can be found by multiplying the highest exponent prime factors of 822 and 830. First we will calculate the prime factors of 822 and 830.

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2, 3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

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 822 and 830.

LCM(822,830) = 21×31×51×831×1371
LCM(822,830) = 341130

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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 822 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 822 and 830, than apply into the LCM equation.

GCF(822,830) = 2
LCM(822,830) = ( 822 × 830) / 2
LCM(822,830) = 682260 / 2
LCM(822,830) = 341130

Properties of LCM 822 and 830

(i) The LCM of 830 and 822 is associative

LCM of 822 and 830 = LCM of 830 and 822

Related Least Common Multiples of 822

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 822 and 830

1. What is the LCM of 822 and 830?

Answer: LCM of 822 and 830 is 341130.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

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 822 and 830?

Answer:

Least Common Multiple of 822 and 830 = 341130

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

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 = 341130 = 2 x 3 x 5 x 83 x 137

Step 4: Therefore, the least common multiple of 822 and 830 is 341130.