Least Common Multiple of 814 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 814 and 820 the smallest integer that is 333740 that is divisible by both numbers.

Least Common Multiple (LCM) of 814 and 820 is 333740.

LCM(814,820) = 333740

LCM of 814 and 820

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

LCM of:
and

Least Common Multiple of 814 and 820

LCM of 814 and 820 is 333740

Least common multiple can be found by multiplying the highest exponent prime factors of 814 and 820. First we will calculate the prime factors of 814 and 820.

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

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 814 and 820.

LCM(814,820) = 22×51×111×371×411
LCM(814,820) = 333740

Factors of 814

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

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

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 814 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 814 and 820, than apply into the LCM equation.

GCF(814,820) = 2
LCM(814,820) = ( 814 × 820) / 2
LCM(814,820) = 667480 / 2
LCM(814,820) = 333740

Properties of LCM 814 and 820

(i) The LCM of 820 and 814 is associative

LCM of 814 and 820 = LCM of 820 and 814

Related Least Common Multiples of 814

Related Least Common Multiples of 820

Frequently Asked Questions on LCM of 814 and 820

1. What is the LCM of 814 and 820?

Answer: LCM of 814 and 820 is 333740.

2. 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.

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 814 and 820?

Answer:

Least Common Multiple of 814 and 820 = 333740

Step 1: Find the prime factorization of 814

814 = 2 x 11 x 37

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 = 333740 = 2 x 2 x 5 x 11 x 37 x 41

Step 4: Therefore, the least common multiple of 814 and 820 is 333740.