Least Common Multiple of 3814 and 3819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3814 and 3819 the smallest integer that is 14565666 that is divisible by both numbers.

Least Common Multiple (LCM) of 3814 and 3819 is 14565666.

LCM(3814,3819) = 14565666

LCM of 3814 and 3819

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

LCM of:
and

Least Common Multiple of 3814 and 3819

LCM of 3814 and 3819 is 14565666

Least common multiple can be found by multiplying the highest exponent prime factors of 3814 and 3819. First we will calculate the prime factors of 3814 and 3819.

Prime Factorization of 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

Prime Factorization of 3819


3 3819
19 1273
67 67
1

Prime factors of 3819 are 3, 19,67. Prime factorization of 3819 in exponential form is:

3819 = 31×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3814 and 3819.

LCM(3814,3819) = 21×31×191×671×19071
LCM(3814,3819) = 14565666

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1, 2, 1907, 3814

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1, 3, 19, 57, 67, 201, 1273, 3819

Least Common Multiple of 3814 and 3819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3814 and 3819, than apply into the LCM equation.

GCF(3814,3819) = 1
LCM(3814,3819) = ( 3814 × 3819) / 1
LCM(3814,3819) = 14565666 / 1
LCM(3814,3819) = 14565666

Properties of LCM 3814 and 3819

(i) The LCM of 3819 and 3814 is associative

LCM of 3814 and 3819 = LCM of 3819 and 3814

Related Least Common Multiples of 3814

Related Least Common Multiples of 3819

Frequently Asked Questions on LCM of 3814 and 3819

1. What is the LCM of 3814 and 3819?

Answer: LCM of 3814 and 3819 is 14565666.

2. What are the Factors of 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

3. What are the Factors of 3819?

Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.

4. How to Find the LCM of 3814 and 3819?

Answer:

Least Common Multiple of 3814 and 3819 = 14565666

Step 1: Find the prime factorization of 3814

3814 = 2 x 1907

Step 2: Find the prime factorization of 3819

3819 = 3 x 19 x 67

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

LCM = 14565666 = 2 x 3 x 19 x 67 x 1907

Step 4: Therefore, the least common multiple of 3814 and 3819 is 14565666.