Least Common Multiple of 827 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 827 and 830 the smallest integer that is 686410 that is divisible by both numbers.

Least Common Multiple (LCM) of 827 and 830 is 686410.

LCM(827,830) = 686410

LCM of 827 and 830

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

LCM of:
and

Least Common Multiple of 827 and 830

LCM of 827 and 830 is 686410

Least common multiple can be found by multiplying the highest exponent prime factors of 827 and 830. First we will calculate the prime factors of 827 and 830.

Prime Factorization of 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

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 827 and 830.

LCM(827,830) = 21×51×831×8271
LCM(827,830) = 686410

Factors of 827

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

1, 827

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 827 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 827 and 830, than apply into the LCM equation.

GCF(827,830) = 1
LCM(827,830) = ( 827 × 830) / 1
LCM(827,830) = 686410 / 1
LCM(827,830) = 686410

Properties of LCM 827 and 830

(i) The LCM of 830 and 827 is associative

LCM of 827 and 830 = LCM of 830 and 827

Related Least Common Multiples of 827

Related Least Common Multiples of 830

Frequently Asked Questions on LCM of 827 and 830

1. What is the LCM of 827 and 830?

Answer: LCM of 827 and 830 is 686410.

2. 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.

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 827 and 830?

Answer:

Least Common Multiple of 827 and 830 = 686410

Step 1: Find the prime factorization of 827

827 = 827

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 = 686410 = 2 x 5 x 83 x 827

Step 4: Therefore, the least common multiple of 827 and 830 is 686410.