Least Common Multiple of 813 and 821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 813 and 821 the smallest integer that is 667473 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 821 is 667473.

LCM(813,821) = 667473

LCM of 813 and 821

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

LCM of:
and

Least Common Multiple of 813 and 821

LCM of 813 and 821 is 667473

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 821. First we will calculate the prime factors of 813 and 821.

Prime Factorization of 813


3 813
271 271
1

Prime factors of 813 are 3,271. Prime factorization of 813 in exponential form is:

813 = 31×2711

Prime Factorization of 821


821 821
1

Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:

821 = 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 813 and 821.

LCM(813,821) = 31×2711×8211
LCM(813,821) = 667473

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1, 821

Least Common Multiple of 813 and 821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 813 and 821, than apply into the LCM equation.

GCF(813,821) = 1
LCM(813,821) = ( 813 × 821) / 1
LCM(813,821) = 667473 / 1
LCM(813,821) = 667473

Properties of LCM 813 and 821

(i) The LCM of 821 and 813 is associative

LCM of 813 and 821 = LCM of 821 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 821

Frequently Asked Questions on LCM of 813 and 821

1. What is the LCM of 813 and 821?

Answer: LCM of 813 and 821 is 667473.

2. What are the Factors of 813?

Answer: Factors of 813 are 1, 3, 271, 813. There are 4 integers that are factors of 813. The greatest factor of 813 is 813.

3. What are the Factors of 821?

Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.

4. How to Find the LCM of 813 and 821?

Answer:

Least Common Multiple of 813 and 821 = 667473

Step 1: Find the prime factorization of 813

813 = 3 x 271

Step 2: Find the prime factorization of 821

821 = 821

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

LCM = 667473 = 3 x 271 x 821

Step 4: Therefore, the least common multiple of 813 and 821 is 667473.