Least Common Multiple of 820 and 827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 820 and 827 the smallest integer that is 678140 that is divisible by both numbers.

Least Common Multiple (LCM) of 820 and 827 is 678140.

LCM(820,827) = 678140

LCM of 820 and 827

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

LCM of:
and

Least Common Multiple of 820 and 827

LCM of 820 and 827 is 678140

Least common multiple can be found by multiplying the highest exponent prime factors of 820 and 827. First we will calculate the prime factors of 820 and 827.

Prime Factorization of 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2, 5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

Prime Factorization of 827


827 827
1

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

827 = 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 820 and 827.

LCM(820,827) = 22×51×411×8271
LCM(820,827) = 678140

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Factors of 827

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

1, 827

Least Common Multiple of 820 and 827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 820 and 827, than apply into the LCM equation.

GCF(820,827) = 1
LCM(820,827) = ( 820 × 827) / 1
LCM(820,827) = 678140 / 1
LCM(820,827) = 678140

Properties of LCM 820 and 827

(i) The LCM of 827 and 820 is associative

LCM of 820 and 827 = LCM of 827 and 820

Related Least Common Multiples of 820

Related Least Common Multiples of 827

Frequently Asked Questions on LCM of 820 and 827

1. What is the LCM of 820 and 827?

Answer: LCM of 820 and 827 is 678140.

2. What are the Factors of 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

3. 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.

4. How to Find the LCM of 820 and 827?

Answer:

Least Common Multiple of 820 and 827 = 678140

Step 1: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 827

827 = 827

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

LCM = 678140 = 2 x 2 x 5 x 41 x 827

Step 4: Therefore, the least common multiple of 820 and 827 is 678140.