Least Common Multiple of 828 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 828 and 830 the smallest integer that is 343620 that is divisible by both numbers.

Least Common Multiple (LCM) of 828 and 830 is 343620.

LCM(828,830) = 343620

LCM of 828 and 830

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

LCM of:
and

Least Common Multiple of 828 and 830

LCM of 828 and 830 is 343620

Least common multiple can be found by multiplying the highest exponent prime factors of 828 and 830. First we will calculate the prime factors of 828 and 830.

Prime Factorization of 828


2 828
2 414
3 207
3 69
23 23
1

Prime factors of 828 are 2, 3,23. Prime factorization of 828 in exponential form is:

828 = 22×32×231

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 828 and 830.

LCM(828,830) = 22×32×51×231×831
LCM(828,830) = 343620

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 828 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 828 and 830, than apply into the LCM equation.

GCF(828,830) = 2
LCM(828,830) = ( 828 × 830) / 2
LCM(828,830) = 687240 / 2
LCM(828,830) = 343620

Properties of LCM 828 and 830

(i) The LCM of 830 and 828 is associative

LCM of 828 and 830 = LCM of 830 and 828

Related Least Common Multiples of 828

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 828 and 830

1. What is the LCM of 828 and 830?

Answer: LCM of 828 and 830 is 343620.

2. What are the Factors of 828?

Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.

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 828 and 830?

Answer:

Least Common Multiple of 828 and 830 = 343620

Step 1: Find the prime factorization of 828

828 = 2 x 2 x 3 x 3 x 23

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 = 343620 = 2 x 2 x 3 x 3 x 5 x 23 x 83

Step 4: Therefore, the least common multiple of 828 and 830 is 343620.