Least Common Multiple of 817 and 820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 817 and 820 the smallest integer that is 669940 that is divisible by both numbers.

Least Common Multiple (LCM) of 817 and 820 is 669940.

LCM(817,820) = 669940

LCM of 817 and 820

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

LCM of:
and

Least Common Multiple of 817 and 820

LCM of 817 and 820 is 669940

Least common multiple can be found by multiplying the highest exponent prime factors of 817 and 820. First we will calculate the prime factors of 817 and 820.

Prime Factorization of 817


19 817
43 43
1

Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:

817 = 191×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 817 and 820.

LCM(817,820) = 22×51×191×411×431
LCM(817,820) = 669940

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1, 19, 43, 817

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

Least Common Multiple of 817 and 820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 817 and 820, than apply into the LCM equation.

GCF(817,820) = 1
LCM(817,820) = ( 817 × 820) / 1
LCM(817,820) = 669940 / 1
LCM(817,820) = 669940

Properties of LCM 817 and 820

(i) The LCM of 820 and 817 is associative

LCM of 817 and 820 = LCM of 820 and 817

Related Least Common Multiples of 817

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 817 and 820

1. What is the LCM of 817 and 820?

Answer: LCM of 817 and 820 is 669940.

2. What are the Factors of 817?

Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.

3. 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.

4. How to Find the LCM of 817 and 820?

Answer:

Least Common Multiple of 817 and 820 = 669940

Step 1: Find the prime factorization of 817

817 = 19 x 43

Step 2: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

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

LCM = 669940 = 2 x 2 x 5 x 19 x 41 x 43

Step 4: Therefore, the least common multiple of 817 and 820 is 669940.