Least Common Multiple of 813 and 814

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 814 the smallest integer that is 661782 that is divisible by both numbers.

Least Common Multiple (LCM) of 813 and 814 is 661782.

LCM(813,814) = 661782

LCM of 813 and 814

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

LCM of:
and

Least Common Multiple of 813 and 814

LCM of 813 and 814 is 661782

Least common multiple can be found by multiplying the highest exponent prime factors of 813 and 814. First we will calculate the prime factors of 813 and 814.

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 814


2 814
11 407
37 37
1

Prime factors of 814 are 2, 11,37. Prime factorization of 814 in exponential form is:

814 = 21×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 813 and 814.

LCM(813,814) = 21×31×111×371×2711
LCM(813,814) = 661782

Factors of 813

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

1, 3, 271, 813

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Least Common Multiple of 813 and 814 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 814, than apply into the LCM equation.

GCF(813,814) = 1
LCM(813,814) = ( 813 × 814) / 1
LCM(813,814) = 661782 / 1
LCM(813,814) = 661782

Properties of LCM 813 and 814

(i) The LCM of 814 and 813 is associative

LCM of 813 and 814 = LCM of 814 and 813

Related Least Common Multiples of 813

Related Least Common Multiples of 814

Frequently Asked Questions on LCM of 813 and 814

1. What is the LCM of 813 and 814?

Answer: LCM of 813 and 814 is 661782.

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 814?

Answer: Factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814. There are 8 integers that are factors of 814. The greatest factor of 814 is 814.

4. How to Find the LCM of 813 and 814?

Answer:

Least Common Multiple of 813 and 814 = 661782

Step 1: Find the prime factorization of 813

813 = 3 x 271

Step 2: Find the prime factorization of 814

814 = 2 x 11 x 37

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

LCM = 661782 = 2 x 3 x 11 x 37 x 271

Step 4: Therefore, the least common multiple of 813 and 814 is 661782.